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Finding the Third Proportional to 299,940 and 652,368

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Solution

The third proportional to 299,940 and 652,368 is: 1,418,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,940 : 652,368 = 652,368 : x
  2. Step 2: Convert to fraction form
    299,940/652,368 = 652,368/x
  3. Step 3: Cross multiply
    299,940x = 652,368 × 652,368
  4. Step 4: Simplify right side
    299,940x = 425,584,007,424
  5. Step 5: Solve for x
    x = 425,584,007,424/299,940
  6. Step 6: Final answer
    x = 1,418,897.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.