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Finding the Third Proportional to 499,380.19 and 761,508.84

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Solution

The third proportional to 499,380.19 and 761,508.84 is: 1,161,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,380.19 : 761,508.84 = 761,508.84 : x
  2. Step 2: Convert to fraction form
    499,380.19/761,508.84 = 761,508.84/x
  3. Step 3: Cross multiply
    499,380.19x = 761,508.84 × 761,508.84
  4. Step 4: Simplify right side
    499,380.19x = 579,895,719,109.46
  5. Step 5: Solve for x
    x = 579,895,719,109.46/499,380.19
  6. Step 6: Final answer
    x = 1,161,230.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.