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Finding the Third Proportional to 300,441 and 652,236

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Solution

The third proportional to 300,441 and 652,236 is: 1,415,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,441 : 652,236 = 652,236 : x
  2. Step 2: Convert to fraction form
    300,441/652,236 = 652,236/x
  3. Step 3: Cross multiply
    300,441x = 652,236 × 652,236
  4. Step 4: Simplify right side
    300,441x = 425,411,799,696
  5. Step 5: Solve for x
    x = 425,411,799,696/300,441
  6. Step 6: Final answer
    x = 1,415,957.87

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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.