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Finding the Third Proportional to 331,351 and 715,037

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Solution

The third proportional to 331,351 and 715,037 is: 1,543,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,351 : 715,037 = 715,037 : x
  2. Step 2: Convert to fraction form
    331,351/715,037 = 715,037/x
  3. Step 3: Cross multiply
    331,351x = 715,037 × 715,037
  4. Step 4: Simplify right side
    331,351x = 511,277,911,369
  5. Step 5: Solve for x
    x = 511,277,911,369/331,351
  6. Step 6: Final answer
    x = 1,543,010.01

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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.