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Finding the Third Proportional to 282,783.50 and 615,321

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Solution

The third proportional to 282,783.50 and 615,321 is: 1,338,903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,783.50 : 615,321 = 615,321 : x
  2. Step 2: Convert to fraction form
    282,783.50/615,321 = 615,321/x
  3. Step 3: Cross multiply
    282,783.50x = 615,321 × 615,321
  4. Step 4: Simplify right side
    282,783.50x = 378,619,933,041
  5. Step 5: Solve for x
    x = 378,619,933,041/282,783.50
  6. Step 6: Final answer
    x = 1,338,903.91

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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.