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Finding the Third Proportional to 240,521.50 and 522,029

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Solution

The third proportional to 240,521.50 and 522,029 is: 1,133,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,521.50 : 522,029 = 522,029 : x
  2. Step 2: Convert to fraction form
    240,521.50/522,029 = 522,029/x
  3. Step 3: Cross multiply
    240,521.50x = 522,029 × 522,029
  4. Step 4: Simplify right side
    240,521.50x = 272,514,276,841
  5. Step 5: Solve for x
    x = 272,514,276,841/240,521.50
  6. Step 6: Final answer
    x = 1,133,014.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.