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Finding the Third Proportional to 546,082.50 and 854,773.50

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Solution

The third proportional to 546,082.50 and 854,773.50 is: 1,337,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,082.50 : 854,773.50 = 854,773.50 : x
  2. Step 2: Convert to fraction form
    546,082.50/854,773.50 = 854,773.50/x
  3. Step 3: Cross multiply
    546,082.50x = 854,773.50 × 854,773.50
  4. Step 4: Simplify right side
    546,082.50x = 730,637,736,302.25
  5. Step 5: Solve for x
    x = 730,637,736,302.25/546,082.50
  6. Step 6: Final answer
    x = 1,337,962.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.