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Finding the Third Proportional to 296,574 and 652,188

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Solution

The third proportional to 296,574 and 652,188 is: 1,434,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,574 : 652,188 = 652,188 : x
  2. Step 2: Convert to fraction form
    296,574/652,188 = 652,188/x
  3. Step 3: Cross multiply
    296,574x = 652,188 × 652,188
  4. Step 4: Simplify right side
    296,574x = 425,349,187,344
  5. Step 5: Solve for x
    x = 425,349,187,344/296,574
  6. Step 6: Final answer
    x = 1,434,209.29

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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.