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Finding the Third Proportional to 237,714.75 and 528,580.69

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Solution

The third proportional to 237,714.75 and 528,580.69 is: 1,175,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,714.75 : 528,580.69 = 528,580.69 : x
  2. Step 2: Convert to fraction form
    237,714.75/528,580.69 = 528,580.69/x
  3. Step 3: Cross multiply
    237,714.75x = 528,580.69 × 528,580.69
  4. Step 4: Simplify right side
    237,714.75x = 279,397,543,197.97
  5. Step 5: Solve for x
    x = 279,397,543,197.97/237,714.75
  6. Step 6: Final answer
    x = 1,175,347.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.