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Finding the Third Proportional to 504,505.13 and 755,368.88

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Solution

The third proportional to 504,505.13 and 755,368.88 is: 1,130,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,505.13 : 755,368.88 = 755,368.88 : x
  2. Step 2: Convert to fraction form
    504,505.13/755,368.88 = 755,368.88/x
  3. Step 3: Cross multiply
    504,505.13x = 755,368.88 × 755,368.88
  4. Step 4: Simplify right side
    504,505.13x = 570,582,137,318.77
  5. Step 5: Solve for x
    x = 570,582,137,318.77/504,505.13
  6. Step 6: Final answer
    x = 1,130,973.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.