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Finding the Third Proportional to 532,206 and 803,817

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Solution

The third proportional to 532,206 and 803,817 is: 1,214,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,206 : 803,817 = 803,817 : x
  2. Step 2: Convert to fraction form
    532,206/803,817 = 803,817/x
  3. Step 3: Cross multiply
    532,206x = 803,817 × 803,817
  4. Step 4: Simplify right side
    532,206x = 646,121,769,489
  5. Step 5: Solve for x
    x = 646,121,769,489/532,206
  6. Step 6: Final answer
    x = 1,214,044.50

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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.