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Finding the Third Proportional to 300,484 and 609,264

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Solution

The third proportional to 300,484 and 609,264 is: 1,235,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,484 : 609,264 = 609,264 : x
  2. Step 2: Convert to fraction form
    300,484/609,264 = 609,264/x
  3. Step 3: Cross multiply
    300,484x = 609,264 × 609,264
  4. Step 4: Simplify right side
    300,484x = 371,202,621,696
  5. Step 5: Solve for x
    x = 371,202,621,696/300,484
  6. Step 6: Final answer
    x = 1,235,349.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.