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Finding the Third Proportional to 357,665 and 744,714

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Solution

The third proportional to 357,665 and 744,714 is: 1,550,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,665 : 744,714 = 744,714 : x
  2. Step 2: Convert to fraction form
    357,665/744,714 = 744,714/x
  3. Step 3: Cross multiply
    357,665x = 744,714 × 744,714
  4. Step 4: Simplify right side
    357,665x = 554,598,941,796
  5. Step 5: Solve for x
    x = 554,598,941,796/357,665
  6. Step 6: Final answer
    x = 1,550,610.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.