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Finding the Third Proportional to 284,081.25 and 607,561.50

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Solution

The third proportional to 284,081.25 and 607,561.50 is: 1,299,385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,081.25 : 607,561.50 = 607,561.50 : x
  2. Step 2: Convert to fraction form
    284,081.25/607,561.50 = 607,561.50/x
  3. Step 3: Cross multiply
    284,081.25x = 607,561.50 × 607,561.50
  4. Step 4: Simplify right side
    284,081.25x = 369,130,976,282.25
  5. Step 5: Solve for x
    x = 369,130,976,282.25/284,081.25
  6. Step 6: Final answer
    x = 1,299,385.22

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