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Finding the Third Proportional to 284,224 and 607,828

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Solution

The third proportional to 284,224 and 607,828 is: 1,299,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,224 : 607,828 = 607,828 : x
  2. Step 2: Convert to fraction form
    284,224/607,828 = 607,828/x
  3. Step 3: Cross multiply
    284,224x = 607,828 × 607,828
  4. Step 4: Simplify right side
    284,224x = 369,454,877,584
  5. Step 5: Solve for x
    x = 369,454,877,584/284,224
  6. Step 6: Final answer
    x = 1,299,872.20

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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.