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Finding the Third Proportional to 357,408 and 555,714

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Solution

The third proportional to 357,408 and 555,714 is: 864,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,408 : 555,714 = 555,714 : x
  2. Step 2: Convert to fraction form
    357,408/555,714 = 555,714/x
  3. Step 3: Cross multiply
    357,408x = 555,714 × 555,714
  4. Step 4: Simplify right side
    357,408x = 308,818,049,796
  5. Step 5: Solve for x
    x = 308,818,049,796/357,408
  6. Step 6: Final answer
    x = 864,049.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.