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Finding the Third Proportional to 499,587 and 761,895

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Solution

The third proportional to 499,587 and 761,895 is: 1,161,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,587 : 761,895 = 761,895 : x
  2. Step 2: Convert to fraction form
    499,587/761,895 = 761,895/x
  3. Step 3: Cross multiply
    499,587x = 761,895 × 761,895
  4. Step 4: Simplify right side
    499,587x = 580,483,991,025
  5. Step 5: Solve for x
    x = 580,483,991,025/499,587
  6. Step 6: Final answer
    x = 1,161,927.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.