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Finding the Third Proportional to 295,931.75 and 652,188

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Solution

The third proportional to 295,931.75 and 652,188 is: 1,437,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,931.75 : 652,188 = 652,188 : x
  2. Step 2: Convert to fraction form
    295,931.75/652,188 = 652,188/x
  3. Step 3: Cross multiply
    295,931.75x = 652,188 × 652,188
  4. Step 4: Simplify right side
    295,931.75x = 425,349,187,344
  5. Step 5: Solve for x
    x = 425,349,187,344/295,931.75
  6. Step 6: Final answer
    x = 1,437,321.91

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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.