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Finding the Third Proportional to 357,214 and 486,464

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Solution

The third proportional to 357,214 and 486,464 is: 662,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,214 : 486,464 = 486,464 : x
  2. Step 2: Convert to fraction form
    357,214/486,464 = 486,464/x
  3. Step 3: Cross multiply
    357,214x = 486,464 × 486,464
  4. Step 4: Simplify right side
    357,214x = 236,647,223,296
  5. Step 5: Solve for x
    x = 236,647,223,296/357,214
  6. Step 6: Final answer
    x = 662,480.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.