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Finding the Third Proportional to 485,682 and 723,541

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Solution

The third proportional to 485,682 and 723,541 is: 1,077,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,682 : 723,541 = 723,541 : x
  2. Step 2: Convert to fraction form
    485,682/723,541 = 723,541/x
  3. Step 3: Cross multiply
    485,682x = 723,541 × 723,541
  4. Step 4: Simplify right side
    485,682x = 523,511,578,681
  5. Step 5: Solve for x
    x = 523,511,578,681/485,682
  6. Step 6: Final answer
    x = 1,077,889.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.