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Finding the Third Proportional to 499,304.50 and 1,092,023

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Solution

The third proportional to 499,304.50 and 1,092,023 is: 2,388,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,304.50 : 1,092,023 = 1,092,023 : x
  2. Step 2: Convert to fraction form
    499,304.50/1,092,023 = 1,092,023/x
  3. Step 3: Cross multiply
    499,304.50x = 1,092,023 × 1,092,023
  4. Step 4: Simplify right side
    499,304.50x = 1,192,514,232,529
  5. Step 5: Solve for x
    x = 1,192,514,232,529/499,304.50
  6. Step 6: Final answer
    x = 2,388,350.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.