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Finding the Third Proportional to 367,376 and 567,433

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Solution

The third proportional to 367,376 and 567,433 is: 876,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,376 : 567,433 = 567,433 : x
  2. Step 2: Convert to fraction form
    367,376/567,433 = 567,433/x
  3. Step 3: Cross multiply
    367,376x = 567,433 × 567,433
  4. Step 4: Simplify right side
    367,376x = 321,980,209,489
  5. Step 5: Solve for x
    x = 321,980,209,489/367,376
  6. Step 6: Final answer
    x = 876,432.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.