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Finding the Third Proportional to 224,846 and 520,547

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Solution

The third proportional to 224,846 and 520,547 is: 1,205,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,846 : 520,547 = 520,547 : x
  2. Step 2: Convert to fraction form
    224,846/520,547 = 520,547/x
  3. Step 3: Cross multiply
    224,846x = 520,547 × 520,547
  4. Step 4: Simplify right side
    224,846x = 270,969,179,209
  5. Step 5: Solve for x
    x = 270,969,179,209/224,846
  6. Step 6: Final answer
    x = 1,205,132.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.