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Finding the Third Proportional to 284,043.80 and 607,453.59

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Solution

The third proportional to 284,043.80 and 607,453.59 is: 1,299,094.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,043.80 : 607,453.59 = 607,453.59 : x
  2. Step 2: Convert to fraction form
    284,043.80/607,453.59 = 607,453.59/x
  3. Step 3: Cross multiply
    284,043.80x = 607,453.59 × 607,453.59
  4. Step 4: Simplify right side
    284,043.80x = 368,999,868,559.79
  5. Step 5: Solve for x
    x = 368,999,868,559.79/284,043.80
  6. Step 6: Final answer
    x = 1,299,094.97

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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.