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Finding the Third Proportional to 281,311.50 and 602,808

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Solution

The third proportional to 281,311.50 and 602,808 is: 1,291,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,311.50 : 602,808 = 602,808 : x
  2. Step 2: Convert to fraction form
    281,311.50/602,808 = 602,808/x
  3. Step 3: Cross multiply
    281,311.50x = 602,808 × 602,808
  4. Step 4: Simplify right side
    281,311.50x = 363,377,484,864
  5. Step 5: Solve for x
    x = 363,377,484,864/281,311.50
  6. Step 6: Final answer
    x = 1,291,726.38

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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.