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Finding the Third Proportional to 284,217.75 and 607,816.13

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Solution

The third proportional to 284,217.75 and 607,816.13 is: 1,299,850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,217.75 : 607,816.13 = 607,816.13 : x
  2. Step 2: Convert to fraction form
    284,217.75/607,816.13 = 607,816.13/x
  3. Step 3: Cross multiply
    284,217.75x = 607,816.13 × 607,816.13
  4. Step 4: Simplify right side
    284,217.75x = 369,440,441,810.02
  5. Step 5: Solve for x
    x = 369,440,441,810.02/284,217.75
  6. Step 6: Final answer
    x = 1,299,850.00

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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.