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Finding the Third Proportional to 242,044 and 526,065

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Solution

The third proportional to 242,044 and 526,065 is: 1,143,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,044 : 526,065 = 526,065 : x
  2. Step 2: Convert to fraction form
    242,044/526,065 = 526,065/x
  3. Step 3: Cross multiply
    242,044x = 526,065 × 526,065
  4. Step 4: Simplify right side
    242,044x = 276,744,384,225
  5. Step 5: Solve for x
    x = 276,744,384,225/242,044
  6. Step 6: Final answer
    x = 1,143,363.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.