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Finding the Third Proportional to 304,317 and 653,481

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Solution

The third proportional to 304,317 and 653,481 is: 1,403,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,317 : 653,481 = 653,481 : x
  2. Step 2: Convert to fraction form
    304,317/653,481 = 653,481/x
  3. Step 3: Cross multiply
    304,317x = 653,481 × 653,481
  4. Step 4: Simplify right side
    304,317x = 427,037,417,361
  5. Step 5: Solve for x
    x = 427,037,417,361/304,317
  6. Step 6: Final answer
    x = 1,403,265.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.