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Finding the Third Proportional to 296,570 and 652,108

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Solution

The third proportional to 296,570 and 652,108 is: 1,433,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,570 : 652,108 = 652,108 : x
  2. Step 2: Convert to fraction form
    296,570/652,108 = 652,108/x
  3. Step 3: Cross multiply
    296,570x = 652,108 × 652,108
  4. Step 4: Simplify right side
    296,570x = 425,244,843,664
  5. Step 5: Solve for x
    x = 425,244,843,664/296,570
  6. Step 6: Final answer
    x = 1,433,876.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.