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Finding the Third Proportional to 242,501 and 526,972

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Solution

The third proportional to 242,501 and 526,972 is: 1,145,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,501 : 526,972 = 526,972 : x
  2. Step 2: Convert to fraction form
    242,501/526,972 = 526,972/x
  3. Step 3: Cross multiply
    242,501x = 526,972 × 526,972
  4. Step 4: Simplify right side
    242,501x = 277,699,488,784
  5. Step 5: Solve for x
    x = 277,699,488,784/242,501
  6. Step 6: Final answer
    x = 1,145,147.81

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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.