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Finding the Third Proportional to 565,166 and 853,509

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Solution

The third proportional to 565,166 and 853,509 is: 1,288,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,166 : 853,509 = 853,509 : x
  2. Step 2: Convert to fraction form
    565,166/853,509 = 853,509/x
  3. Step 3: Cross multiply
    565,166x = 853,509 × 853,509
  4. Step 4: Simplify right side
    565,166x = 728,477,613,081
  5. Step 5: Solve for x
    x = 728,477,613,081/565,166
  6. Step 6: Final answer
    x = 1,288,962.20

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Why These Related Problems?

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