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Finding the Third Proportional to 315,730 and 676,388

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Solution

The third proportional to 315,730 and 676,388 is: 1,449,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,730 : 676,388 = 676,388 : x
  2. Step 2: Convert to fraction form
    315,730/676,388 = 676,388/x
  3. Step 3: Cross multiply
    315,730x = 676,388 × 676,388
  4. Step 4: Simplify right side
    315,730x = 457,500,726,544
  5. Step 5: Solve for x
    x = 457,500,726,544/315,730
  6. Step 6: Final answer
    x = 1,449,025.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.