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Finding the Third Proportional to 280,617 and 615,562.50

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Solution

The third proportional to 280,617 and 615,562.50 is: 1,350,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,617 : 615,562.50 = 615,562.50 : x
  2. Step 2: Convert to fraction form
    280,617/615,562.50 = 615,562.50/x
  3. Step 3: Cross multiply
    280,617x = 615,562.50 × 615,562.50
  4. Step 4: Simplify right side
    280,617x = 378,917,191,406.25
  5. Step 5: Solve for x
    x = 378,917,191,406.25/280,617
  6. Step 6: Final answer
    x = 1,350,300.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.