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Finding the Third Proportional to 331,232 and 715,377

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Solution

The third proportional to 331,232 and 715,377 is: 1,545,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,232 : 715,377 = 715,377 : x
  2. Step 2: Convert to fraction form
    331,232/715,377 = 715,377/x
  3. Step 3: Cross multiply
    331,232x = 715,377 × 715,377
  4. Step 4: Simplify right side
    331,232x = 511,764,252,129
  5. Step 5: Solve for x
    x = 511,764,252,129/331,232
  6. Step 6: Final answer
    x = 1,545,032.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.