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Finding the Third Proportional to 532,017 and 803,543

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Solution

The third proportional to 532,017 and 803,543 is: 1,213,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,017 : 803,543 = 803,543 : x
  2. Step 2: Convert to fraction form
    532,017/803,543 = 803,543/x
  3. Step 3: Cross multiply
    532,017x = 803,543 × 803,543
  4. Step 4: Simplify right side
    532,017x = 645,681,352,849
  5. Step 5: Solve for x
    x = 645,681,352,849/532,017
  6. Step 6: Final answer
    x = 1,213,647.97

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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.