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Finding the Third Proportional to 565,164 and 853,506

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Solution

The third proportional to 565,164 and 853,506 is: 1,288,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,164 : 853,506 = 853,506 : x
  2. Step 2: Convert to fraction form
    565,164/853,506 = 853,506/x
  3. Step 3: Cross multiply
    565,164x = 853,506 × 853,506
  4. Step 4: Simplify right side
    565,164x = 728,472,492,036
  5. Step 5: Solve for x
    x = 728,472,492,036/565,164
  6. Step 6: Final answer
    x = 1,288,957.70

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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.