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Finding the Third Proportional to 402,528 and 853,008

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Solution

The third proportional to 402,528 and 853,008 is: 1,807,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,528 : 853,008 = 853,008 : x
  2. Step 2: Convert to fraction form
    402,528/853,008 = 853,008/x
  3. Step 3: Cross multiply
    402,528x = 853,008 × 853,008
  4. Step 4: Simplify right side
    402,528x = 727,622,648,064
  5. Step 5: Solve for x
    x = 727,622,648,064/402,528
  6. Step 6: Final answer
    x = 1,807,632.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.