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Finding the Third Proportional to 283,034.50 and 615,894.50

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Solution

The third proportional to 283,034.50 and 615,894.50 is: 1,340,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,034.50 : 615,894.50 = 615,894.50 : x
  2. Step 2: Convert to fraction form
    283,034.50/615,894.50 = 615,894.50/x
  3. Step 3: Cross multiply
    283,034.50x = 615,894.50 × 615,894.50
  4. Step 4: Simplify right side
    283,034.50x = 379,326,035,130.25
  5. Step 5: Solve for x
    x = 379,326,035,130.25/283,034.50
  6. Step 6: Final answer
    x = 1,340,211.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.