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Finding the Third Proportional to 504,833,317.88 and 754,467,562.13

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Solution

The third proportional to 504,833,317.88 and 754,467,562.13 is: 1,127,543,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,833,317.88 : 754,467,562.13 = 754,467,562.13 : x
  2. Step 2: Convert to fraction form
    504,833,317.88/754,467,562.13 = 754,467,562.13/x
  3. Step 3: Cross multiply
    504,833,317.88x = 754,467,562.13 × 754,467,562.13
  4. Step 4: Simplify right side
    504,833,317.88x = 569,221,302,298,840,704
  5. Step 5: Solve for x
    x = 569,221,302,298,840,704/504,833,317.88
  6. Step 6: Final answer
    x = 1,127,543,056.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.