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Finding the Third Proportional to 516,547.13 and 814,435.88

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Solution

The third proportional to 516,547.13 and 814,435.88 is: 1,284,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,547.13 : 814,435.88 = 814,435.88 : x
  2. Step 2: Convert to fraction form
    516,547.13/814,435.88 = 814,435.88/x
  3. Step 3: Cross multiply
    516,547.13x = 814,435.88 × 814,435.88
  4. Step 4: Simplify right side
    516,547.13x = 663,305,794,487.02
  5. Step 5: Solve for x
    x = 663,305,794,487.02/516,547.13
  6. Step 6: Final answer
    x = 1,284,114.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.