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Finding the Third Proportional to 532,866 and 802,819

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Solution

The third proportional to 532,866 and 802,819 is: 1,209,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,866 : 802,819 = 802,819 : x
  2. Step 2: Convert to fraction form
    532,866/802,819 = 802,819/x
  3. Step 3: Cross multiply
    532,866x = 802,819 × 802,819
  4. Step 4: Simplify right side
    532,866x = 644,518,346,761
  5. Step 5: Solve for x
    x = 644,518,346,761/532,866
  6. Step 6: Final answer
    x = 1,209,531.75

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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.