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Finding the Third Proportional to 240,748 and 374,526

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Solution

The third proportional to 240,748 and 374,526 is: 582,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,748 : 374,526 = 374,526 : x
  2. Step 2: Convert to fraction form
    240,748/374,526 = 374,526/x
  3. Step 3: Cross multiply
    240,748x = 374,526 × 374,526
  4. Step 4: Simplify right side
    240,748x = 140,269,724,676
  5. Step 5: Solve for x
    x = 140,269,724,676/240,748
  6. Step 6: Final answer
    x = 582,641.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.