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Finding the Third Proportional to 281,569.50 and 414,882

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Solution

The third proportional to 281,569.50 and 414,882 is: 611,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,569.50 : 414,882 = 414,882 : x
  2. Step 2: Convert to fraction form
    281,569.50/414,882 = 414,882/x
  3. Step 3: Cross multiply
    281,569.50x = 414,882 × 414,882
  4. Step 4: Simplify right side
    281,569.50x = 172,127,073,924
  5. Step 5: Solve for x
    x = 172,127,073,924/281,569.50
  6. Step 6: Final answer
    x = 611,312.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.