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Finding the Third Proportional to 284,110.50 and 631,282.50

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Solution

The third proportional to 284,110.50 and 631,282.50 is: 1,402,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,110.50 : 631,282.50 = 631,282.50 : x
  2. Step 2: Convert to fraction form
    284,110.50/631,282.50 = 631,282.50/x
  3. Step 3: Cross multiply
    284,110.50x = 631,282.50 × 631,282.50
  4. Step 4: Simplify right side
    284,110.50x = 398,517,594,806.25
  5. Step 5: Solve for x
    x = 398,517,594,806.25/284,110.50
  6. Step 6: Final answer
    x = 1,402,685.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.