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Finding the Third Proportional to 546,723 and 769,564.13

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Solution

The third proportional to 546,723 and 769,564.13 is: 1,083,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,723 : 769,564.13 = 769,564.13 : x
  2. Step 2: Convert to fraction form
    546,723/769,564.13 = 769,564.13/x
  3. Step 3: Cross multiply
    546,723x = 769,564.13 × 769,564.13
  4. Step 4: Simplify right side
    546,723x = 592,228,942,487.02
  5. Step 5: Solve for x
    x = 592,228,942,487.02/546,723
  6. Step 6: Final answer
    x = 1,083,234.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.