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Finding the Third Proportional to 207,275.25 and 439,461

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Solution

The third proportional to 207,275.25 and 439,461 is: 931,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,275.25 : 439,461 = 439,461 : x
  2. Step 2: Convert to fraction form
    207,275.25/439,461 = 439,461/x
  3. Step 3: Cross multiply
    207,275.25x = 439,461 × 439,461
  4. Step 4: Simplify right side
    207,275.25x = 193,125,970,521
  5. Step 5: Solve for x
    x = 193,125,970,521/207,275.25
  6. Step 6: Final answer
    x = 931,736.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.