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Finding the Third Proportional to 282,027 and 615,501.75

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Solution

The third proportional to 282,027 and 615,501.75 is: 1,343,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,027 : 615,501.75 = 615,501.75 : x
  2. Step 2: Convert to fraction form
    282,027/615,501.75 = 615,501.75/x
  3. Step 3: Cross multiply
    282,027x = 615,501.75 × 615,501.75
  4. Step 4: Simplify right side
    282,027x = 378,842,404,253.06
  5. Step 5: Solve for x
    x = 378,842,404,253.06/282,027
  6. Step 6: Final answer
    x = 1,343,284.17

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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.