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Finding the Third Proportional to 241,972 and 375,442

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Solution

The third proportional to 241,972 and 375,442 is: 582,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,972 : 375,442 = 375,442 : x
  2. Step 2: Convert to fraction form
    241,972/375,442 = 375,442/x
  3. Step 3: Cross multiply
    241,972x = 375,442 × 375,442
  4. Step 4: Simplify right side
    241,972x = 140,956,695,364
  5. Step 5: Solve for x
    x = 140,956,695,364/241,972
  6. Step 6: Final answer
    x = 582,533.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.