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Finding the Third Proportional to 262,072.13 and 561,492

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Solution

The third proportional to 262,072.13 and 561,492 is: 1,203,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,072.13 : 561,492 = 561,492 : x
  2. Step 2: Convert to fraction form
    262,072.13/561,492 = 561,492/x
  3. Step 3: Cross multiply
    262,072.13x = 561,492 × 561,492
  4. Step 4: Simplify right side
    262,072.13x = 315,273,266,064
  5. Step 5: Solve for x
    x = 315,273,266,064/262,072.13
  6. Step 6: Final answer
    x = 1,203,001.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.