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Finding the Third Proportional to 225,315 and 482,613.75

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Solution

The third proportional to 225,315 and 482,613.75 is: 1,033,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,315 : 482,613.75 = 482,613.75 : x
  2. Step 2: Convert to fraction form
    225,315/482,613.75 = 482,613.75/x
  3. Step 3: Cross multiply
    225,315x = 482,613.75 × 482,613.75
  4. Step 4: Simplify right side
    225,315x = 232,916,031,689.06
  5. Step 5: Solve for x
    x = 232,916,031,689.06/225,315
  6. Step 6: Final answer
    x = 1,033,735.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.