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Finding the Third Proportional to 240,279.47 and 528,521.06

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Solution

The third proportional to 240,279.47 and 528,521.06 is: 1,162,540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,279.47 : 528,521.06 = 528,521.06 : x
  2. Step 2: Convert to fraction form
    240,279.47/528,521.06 = 528,521.06/x
  3. Step 3: Cross multiply
    240,279.47x = 528,521.06 × 528,521.06
  4. Step 4: Simplify right side
    240,279.47x = 279,334,513,506.13
  5. Step 5: Solve for x
    x = 279,334,513,506.13/240,279.47
  6. Step 6: Final answer
    x = 1,162,540.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.