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Finding the Third Proportional to 357,228 and 486,468

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Solution

The third proportional to 357,228 and 486,468 is: 662,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,228 : 486,468 = 486,468 : x
  2. Step 2: Convert to fraction form
    357,228/486,468 = 486,468/x
  3. Step 3: Cross multiply
    357,228x = 486,468 × 486,468
  4. Step 4: Simplify right side
    357,228x = 236,651,115,024
  5. Step 5: Solve for x
    x = 236,651,115,024/357,228
  6. Step 6: Final answer
    x = 662,465.19

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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.