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Finding the Third Proportional to 242,463 and 526,894

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Solution

The third proportional to 242,463 and 526,894 is: 1,144,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,463 : 526,894 = 526,894 : x
  2. Step 2: Convert to fraction form
    242,463/526,894 = 526,894/x
  3. Step 3: Cross multiply
    242,463x = 526,894 × 526,894
  4. Step 4: Simplify right side
    242,463x = 277,617,287,236
  5. Step 5: Solve for x
    x = 277,617,287,236/242,463
  6. Step 6: Final answer
    x = 1,144,988.25

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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.