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Finding the Third Proportional to 284,918 and 609,364

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Solution

The third proportional to 284,918 and 609,364 is: 1,303,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,918 : 609,364 = 609,364 : x
  2. Step 2: Convert to fraction form
    284,918/609,364 = 609,364/x
  3. Step 3: Cross multiply
    284,918x = 609,364 × 609,364
  4. Step 4: Simplify right side
    284,918x = 371,324,484,496
  5. Step 5: Solve for x
    x = 371,324,484,496/284,918
  6. Step 6: Final answer
    x = 1,303,267.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.