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Finding the Third Proportional to 499,582 and 761,811

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Solution

The third proportional to 499,582 and 761,811 is: 1,161,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,582 : 761,811 = 761,811 : x
  2. Step 2: Convert to fraction form
    499,582/761,811 = 761,811/x
  3. Step 3: Cross multiply
    499,582x = 761,811 × 761,811
  4. Step 4: Simplify right side
    499,582x = 580,355,999,721
  5. Step 5: Solve for x
    x = 580,355,999,721/499,582
  6. Step 6: Final answer
    x = 1,161,683.17

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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.