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Finding the Third Proportional to 485,680 and 723,538

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Solution

The third proportional to 485,680 and 723,538 is: 1,077,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,680 : 723,538 = 723,538 : x
  2. Step 2: Convert to fraction form
    485,680/723,538 = 723,538/x
  3. Step 3: Cross multiply
    485,680x = 723,538 × 723,538
  4. Step 4: Simplify right side
    485,680x = 523,507,237,444
  5. Step 5: Solve for x
    x = 523,507,237,444/485,680
  6. Step 6: Final answer
    x = 1,077,885.10

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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.