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Finding the Third Proportional to 304,564 and 654,488

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Solution

The third proportional to 304,564 and 654,488 is: 1,406,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,564 : 654,488 = 654,488 : x
  2. Step 2: Convert to fraction form
    304,564/654,488 = 654,488/x
  3. Step 3: Cross multiply
    304,564x = 654,488 × 654,488
  4. Step 4: Simplify right side
    304,564x = 428,354,542,144
  5. Step 5: Solve for x
    x = 428,354,542,144/304,564
  6. Step 6: Final answer
    x = 1,406,451.66

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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.