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Finding the Third Proportional to 262,411.31 and 572,302.13

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Solution

The third proportional to 262,411.31 and 572,302.13 is: 1,248,153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,411.31 : 572,302.13 = 572,302.13 : x
  2. Step 2: Convert to fraction form
    262,411.31/572,302.13 = 572,302.13/x
  3. Step 3: Cross multiply
    262,411.31x = 572,302.13 × 572,302.13
  4. Step 4: Simplify right side
    262,411.31x = 327,529,722,279.52
  5. Step 5: Solve for x
    x = 327,529,722,279.52/262,411.31
  6. Step 6: Final answer
    x = 1,248,153.97

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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.