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Finding the Third Proportional to 240,705 and 374,382

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Solution

The third proportional to 240,705 and 374,382 is: 582,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,705 : 374,382 = 374,382 : x
  2. Step 2: Convert to fraction form
    240,705/374,382 = 374,382/x
  3. Step 3: Cross multiply
    240,705x = 374,382 × 374,382
  4. Step 4: Simplify right side
    240,705x = 140,161,881,924
  5. Step 5: Solve for x
    x = 140,161,881,924/240,705
  6. Step 6: Final answer
    x = 582,297.34

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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.