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Finding the Third Proportional to 304,562 and 654,484

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Solution

The third proportional to 304,562 and 654,484 is: 1,406,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,562 : 654,484 = 654,484 : x
  2. Step 2: Convert to fraction form
    304,562/654,484 = 654,484/x
  3. Step 3: Cross multiply
    304,562x = 654,484 × 654,484
  4. Step 4: Simplify right side
    304,562x = 428,349,306,256
  5. Step 5: Solve for x
    x = 428,349,306,256/304,562
  6. Step 6: Final answer
    x = 1,406,443.70

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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.