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Finding the Third Proportional to 304,560 and 654,480

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Solution

The third proportional to 304,560 and 654,480 is: 1,406,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,560 : 654,480 = 654,480 : x
  2. Step 2: Convert to fraction form
    304,560/654,480 = 654,480/x
  3. Step 3: Cross multiply
    304,560x = 654,480 × 654,480
  4. Step 4: Simplify right side
    304,560x = 428,344,070,400
  5. Step 5: Solve for x
    x = 428,344,070,400/304,560
  6. Step 6: Final answer
    x = 1,406,435.74

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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.