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Finding the Third Proportional to 508,609.13 and 769,461.19

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Solution

The third proportional to 508,609.13 and 769,461.19 is: 1,164,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,609.13 : 769,461.19 = 769,461.19 : x
  2. Step 2: Convert to fraction form
    508,609.13/769,461.19 = 769,461.19/x
  3. Step 3: Cross multiply
    508,609.13x = 769,461.19 × 769,461.19
  4. Step 4: Simplify right side
    508,609.13x = 592,070,519,068.91
  5. Step 5: Solve for x
    x = 592,070,519,068.91/508,609.13
  6. Step 6: Final answer
    x = 1,164,097.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.