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Finding the Third Proportional to 373,533 and 560,682

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Solution

The third proportional to 373,533 and 560,682 is: 841,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,533 : 560,682 = 560,682 : x
  2. Step 2: Convert to fraction form
    373,533/560,682 = 560,682/x
  3. Step 3: Cross multiply
    373,533x = 560,682 × 560,682
  4. Step 4: Simplify right side
    373,533x = 314,364,305,124
  5. Step 5: Solve for x
    x = 314,364,305,124/373,533
  6. Step 6: Final answer
    x = 841,597.14

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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.