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Finding the Third Proportional to 241,386 and 337,633

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Solution

The third proportional to 241,386 and 337,633 is: 472,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,386 : 337,633 = 337,633 : x
  2. Step 2: Convert to fraction form
    241,386/337,633 = 337,633/x
  3. Step 3: Cross multiply
    241,386x = 337,633 × 337,633
  4. Step 4: Simplify right side
    241,386x = 113,996,042,689
  5. Step 5: Solve for x
    x = 113,996,042,689/241,386
  6. Step 6: Final answer
    x = 472,256.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.