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Finding the Third Proportional to 520,817,476.50 and 709,264,518.75

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Solution

The third proportional to 520,817,476.50 and 709,264,518.75 is: 965,897,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,817,476.50 : 709,264,518.75 = 709,264,518.75 : x
  2. Step 2: Convert to fraction form
    520,817,476.50/709,264,518.75 = 709,264,518.75/x
  3. Step 3: Cross multiply
    520,817,476.50x = 709,264,518.75 × 709,264,518.75
  4. Step 4: Simplify right side
    520,817,476.50x = 503,056,157,557,669,120
  5. Step 5: Solve for x
    x = 503,056,157,557,669,120/520,817,476.50
  6. Step 6: Final answer
    x = 965,897,229.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.