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Finding the Third Proportional to 569,468 and 801,028

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Solution

The third proportional to 569,468 and 801,028 is: 1,126,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,468 : 801,028 = 801,028 : x
  2. Step 2: Convert to fraction form
    569,468/801,028 = 801,028/x
  3. Step 3: Cross multiply
    569,468x = 801,028 × 801,028
  4. Step 4: Simplify right side
    569,468x = 641,645,856,784
  5. Step 5: Solve for x
    x = 641,645,856,784/569,468
  6. Step 6: Final answer
    x = 1,126,746.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.