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Finding the Third Proportional to 411,354 and 621,414

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Solution

The third proportional to 411,354 and 621,414 is: 938,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,354 : 621,414 = 621,414 : x
  2. Step 2: Convert to fraction form
    411,354/621,414 = 621,414/x
  3. Step 3: Cross multiply
    411,354x = 621,414 × 621,414
  4. Step 4: Simplify right side
    411,354x = 386,155,359,396
  5. Step 5: Solve for x
    x = 386,155,359,396/411,354
  6. Step 6: Final answer
    x = 938,742.20

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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.