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Finding the Third Proportional to 296,486 and 652,014

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Solution

The third proportional to 296,486 and 652,014 is: 1,433,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,486 : 652,014 = 652,014 : x
  2. Step 2: Convert to fraction form
    296,486/652,014 = 652,014/x
  3. Step 3: Cross multiply
    296,486x = 652,014 × 652,014
  4. Step 4: Simplify right side
    296,486x = 425,122,256,196
  5. Step 5: Solve for x
    x = 425,122,256,196/296,486
  6. Step 6: Final answer
    x = 1,433,869.58

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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.