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Finding the Third Proportional to 342,740.25 and 547,320.38

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Solution

The third proportional to 342,740.25 and 547,320.38 is: 874,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,740.25 : 547,320.38 = 547,320.38 : x
  2. Step 2: Convert to fraction form
    342,740.25/547,320.38 = 547,320.38/x
  3. Step 3: Cross multiply
    342,740.25x = 547,320.38 × 547,320.38
  4. Step 4: Simplify right side
    342,740.25x = 299,559,592,890.14
  5. Step 5: Solve for x
    x = 299,559,592,890.14/342,740.25
  6. Step 6: Final answer
    x = 874,013.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.