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Finding the Third Proportional to 284,071.50 and 612,427.50

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Solution

The third proportional to 284,071.50 and 612,427.50 is: 1,320,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,071.50 : 612,427.50 = 612,427.50 : x
  2. Step 2: Convert to fraction form
    284,071.50/612,427.50 = 612,427.50/x
  3. Step 3: Cross multiply
    284,071.50x = 612,427.50 × 612,427.50
  4. Step 4: Simplify right side
    284,071.50x = 375,067,442,756.25
  5. Step 5: Solve for x
    x = 375,067,442,756.25/284,071.50
  6. Step 6: Final answer
    x = 1,320,327.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.