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Finding the Third Proportional to 373,445 and 560,439

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Solution

The third proportional to 373,445 and 560,439 is: 841,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,445 : 560,439 = 560,439 : x
  2. Step 2: Convert to fraction form
    373,445/560,439 = 560,439/x
  3. Step 3: Cross multiply
    373,445x = 560,439 × 560,439
  4. Step 4: Simplify right side
    373,445x = 314,091,872,721
  5. Step 5: Solve for x
    x = 314,091,872,721/373,445
  6. Step 6: Final answer
    x = 841,065.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.