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Finding the Third Proportional to 286,252 and 420,624

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Solution

The third proportional to 286,252 and 420,624 is: 618,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,252 : 420,624 = 420,624 : x
  2. Step 2: Convert to fraction form
    286,252/420,624 = 420,624/x
  3. Step 3: Cross multiply
    286,252x = 420,624 × 420,624
  4. Step 4: Simplify right side
    286,252x = 176,924,549,376
  5. Step 5: Solve for x
    x = 176,924,549,376/286,252
  6. Step 6: Final answer
    x = 618,072.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.