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Finding the Third Proportional to 373,632 and 560,838

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Solution

The third proportional to 373,632 and 560,838 is: 841,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,632 : 560,838 = 560,838 : x
  2. Step 2: Convert to fraction form
    373,632/560,838 = 560,838/x
  3. Step 3: Cross multiply
    373,632x = 560,838 × 560,838
  4. Step 4: Simplify right side
    373,632x = 314,539,262,244
  5. Step 5: Solve for x
    x = 314,539,262,244/373,632
  6. Step 6: Final answer
    x = 841,842.41

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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.