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Finding the Third Proportional to 542,814 and 798,432

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Solution

The third proportional to 542,814 and 798,432 is: 1,174,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,814 : 798,432 = 798,432 : x
  2. Step 2: Convert to fraction form
    542,814/798,432 = 798,432/x
  3. Step 3: Cross multiply
    542,814x = 798,432 × 798,432
  4. Step 4: Simplify right side
    542,814x = 637,493,658,624
  5. Step 5: Solve for x
    x = 637,493,658,624/542,814
  6. Step 6: Final answer
    x = 1,174,423.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.