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Finding the Third Proportional to 567,044 and 913,636

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Solution

The third proportional to 567,044 and 913,636 is: 1,472,074.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,044 : 913,636 = 913,636 : x
  2. Step 2: Convert to fraction form
    567,044/913,636 = 913,636/x
  3. Step 3: Cross multiply
    567,044x = 913,636 × 913,636
  4. Step 4: Simplify right side
    567,044x = 834,730,740,496
  5. Step 5: Solve for x
    x = 834,730,740,496/567,044
  6. Step 6: Final answer
    x = 1,472,074.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.