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Finding the Third Proportional to 569,576 and 801,070

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Solution

The third proportional to 569,576 and 801,070 is: 1,126,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,576 : 801,070 = 801,070 : x
  2. Step 2: Convert to fraction form
    569,576/801,070 = 801,070/x
  3. Step 3: Cross multiply
    569,576x = 801,070 × 801,070
  4. Step 4: Simplify right side
    569,576x = 641,713,144,900
  5. Step 5: Solve for x
    x = 641,713,144,900/569,576
  6. Step 6: Final answer
    x = 1,126,650.60

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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.