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Finding the Third Proportional to 497,984 and 747,336

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Solution

The third proportional to 497,984 and 747,336 is: 1,121,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,984 : 747,336 = 747,336 : x
  2. Step 2: Convert to fraction form
    497,984/747,336 = 747,336/x
  3. Step 3: Cross multiply
    497,984x = 747,336 × 747,336
  4. Step 4: Simplify right side
    497,984x = 558,511,096,896
  5. Step 5: Solve for x
    x = 558,511,096,896/497,984
  6. Step 6: Final answer
    x = 1,121,544.26

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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.