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Finding the Third Proportional to 373,878 and 560,709

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Solution

The third proportional to 373,878 and 560,709 is: 840,901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,878 : 560,709 = 560,709 : x
  2. Step 2: Convert to fraction form
    373,878/560,709 = 560,709/x
  3. Step 3: Cross multiply
    373,878x = 560,709 × 560,709
  4. Step 4: Simplify right side
    373,878x = 314,394,582,681
  5. Step 5: Solve for x
    x = 314,394,582,681/373,878
  6. Step 6: Final answer
    x = 840,901.53

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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.