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Finding the Third Proportional to 296,570 and 652,180

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Solution

The third proportional to 296,570 and 652,180 is: 1,434,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,570 : 652,180 = 652,180 : x
  2. Step 2: Convert to fraction form
    296,570/652,180 = 652,180/x
  3. Step 3: Cross multiply
    296,570x = 652,180 × 652,180
  4. Step 4: Simplify right side
    296,570x = 425,338,752,400
  5. Step 5: Solve for x
    x = 425,338,752,400/296,570
  6. Step 6: Final answer
    x = 1,434,193.45

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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.