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Finding the Third Proportional to 325,560 and 676,070

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Solution

The third proportional to 325,560 and 676,070 is: 1,403,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,560 : 676,070 = 676,070 : x
  2. Step 2: Convert to fraction form
    325,560/676,070 = 676,070/x
  3. Step 3: Cross multiply
    325,560x = 676,070 × 676,070
  4. Step 4: Simplify right side
    325,560x = 457,070,644,900
  5. Step 5: Solve for x
    x = 457,070,644,900/325,560
  6. Step 6: Final answer
    x = 1,403,952.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.