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Finding the Third Proportional to 499,555 and 749,348

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Solution

The third proportional to 499,555 and 749,348 is: 1,124,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,555 : 749,348 = 749,348 : x
  2. Step 2: Convert to fraction form
    499,555/749,348 = 749,348/x
  3. Step 3: Cross multiply
    499,555x = 749,348 × 749,348
  4. Step 4: Simplify right side
    499,555x = 561,522,425,104
  5. Step 5: Solve for x
    x = 561,522,425,104/499,555
  6. Step 6: Final answer
    x = 1,124,045.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.