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Finding the Third Proportional to 371,900 and 763,402

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Solution

The third proportional to 371,900 and 763,402 is: 1,567,041.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,900 : 763,402 = 763,402 : x
  2. Step 2: Convert to fraction form
    371,900/763,402 = 763,402/x
  3. Step 3: Cross multiply
    371,900x = 763,402 × 763,402
  4. Step 4: Simplify right side
    371,900x = 582,782,613,604
  5. Step 5: Solve for x
    x = 582,782,613,604/371,900
  6. Step 6: Final answer
    x = 1,567,041.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.