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Finding the Third Proportional to 224,768 and 482,584

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Solution

The third proportional to 224,768 and 482,584 is: 1,036,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,768 : 482,584 = 482,584 : x
  2. Step 2: Convert to fraction form
    224,768/482,584 = 482,584/x
  3. Step 3: Cross multiply
    224,768x = 482,584 × 482,584
  4. Step 4: Simplify right side
    224,768x = 232,887,317,056
  5. Step 5: Solve for x
    x = 232,887,317,056/224,768
  6. Step 6: Final answer
    x = 1,036,123.10

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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.