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Finding the Third Proportional to 262,214 and 572,044

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Solution

The third proportional to 262,214 and 572,044 is: 1,247,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,214 : 572,044 = 572,044 : x
  2. Step 2: Convert to fraction form
    262,214/572,044 = 572,044/x
  3. Step 3: Cross multiply
    262,214x = 572,044 × 572,044
  4. Step 4: Simplify right side
    262,214x = 327,234,337,936
  5. Step 5: Solve for x
    x = 327,234,337,936/262,214
  6. Step 6: Final answer
    x = 1,247,966.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.