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Finding the Third Proportional to 361,044 and 782,352

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Solution

The third proportional to 361,044 and 782,352 is: 1,695,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,044 : 782,352 = 782,352 : x
  2. Step 2: Convert to fraction form
    361,044/782,352 = 782,352/x
  3. Step 3: Cross multiply
    361,044x = 782,352 × 782,352
  4. Step 4: Simplify right side
    361,044x = 612,074,651,904
  5. Step 5: Solve for x
    x = 612,074,651,904/361,044
  6. Step 6: Final answer
    x = 1,695,291.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.