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Finding the Third Proportional to 242,457 and 526,882

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Solution

The third proportional to 242,457 and 526,882 is: 1,144,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,457 : 526,882 = 526,882 : x
  2. Step 2: Convert to fraction form
    242,457/526,882 = 526,882/x
  3. Step 3: Cross multiply
    242,457x = 526,882 × 526,882
  4. Step 4: Simplify right side
    242,457x = 277,604,641,924
  5. Step 5: Solve for x
    x = 277,604,641,924/242,457
  6. Step 6: Final answer
    x = 1,144,964.43

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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.