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Finding the Third Proportional to 266,203.13 and 584,020.13

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Solution

The third proportional to 266,203.13 and 584,020.13 is: 1,281,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,203.13 : 584,020.13 = 584,020.13 : x
  2. Step 2: Convert to fraction form
    266,203.13/584,020.13 = 584,020.13/x
  3. Step 3: Cross multiply
    266,203.13x = 584,020.13 × 584,020.13
  4. Step 4: Simplify right side
    266,203.13x = 341,079,506,405.02
  5. Step 5: Solve for x
    x = 341,079,506,405.02/266,203.13
  6. Step 6: Final answer
    x = 1,281,275.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.