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Finding the Third Proportional to 499,384 and 761,514

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Solution

The third proportional to 499,384 and 761,514 is: 1,161,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,384 : 761,514 = 761,514 : x
  2. Step 2: Convert to fraction form
    499,384/761,514 = 761,514/x
  3. Step 3: Cross multiply
    499,384x = 761,514 × 761,514
  4. Step 4: Simplify right side
    499,384x = 579,903,572,196
  5. Step 5: Solve for x
    x = 579,903,572,196/499,384
  6. Step 6: Final answer
    x = 1,161,237.79

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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.