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Finding the Third Proportional to 251,044 and 536,624

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Solution

The third proportional to 251,044 and 536,624 is: 1,147,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,044 : 536,624 = 536,624 : x
  2. Step 2: Convert to fraction form
    251,044/536,624 = 536,624/x
  3. Step 3: Cross multiply
    251,044x = 536,624 × 536,624
  4. Step 4: Simplify right side
    251,044x = 287,965,317,376
  5. Step 5: Solve for x
    x = 287,965,317,376/251,044
  6. Step 6: Final answer
    x = 1,147,071.10

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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.