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Finding the Third Proportional to 242,498 and 526,964

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Solution

The third proportional to 242,498 and 526,964 is: 1,145,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,498 : 526,964 = 526,964 : x
  2. Step 2: Convert to fraction form
    242,498/526,964 = 526,964/x
  3. Step 3: Cross multiply
    242,498x = 526,964 × 526,964
  4. Step 4: Simplify right side
    242,498x = 277,691,057,296
  5. Step 5: Solve for x
    x = 277,691,057,296/242,498
  6. Step 6: Final answer
    x = 1,145,127.21

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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.