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Finding the Third Proportional to 417,897 and 626,841

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Solution

The third proportional to 417,897 and 626,841 is: 940,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,897 : 626,841 = 626,841 : x
  2. Step 2: Convert to fraction form
    417,897/626,841 = 626,841/x
  3. Step 3: Cross multiply
    417,897x = 626,841 × 626,841
  4. Step 4: Simplify right side
    417,897x = 392,929,639,281
  5. Step 5: Solve for x
    x = 392,929,639,281/417,897
  6. Step 6: Final answer
    x = 940,254.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.