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Finding the Third Proportional to 282,710 and 615,281

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Solution

The third proportional to 282,710 and 615,281 is: 1,339,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,710 : 615,281 = 615,281 : x
  2. Step 2: Convert to fraction form
    282,710/615,281 = 615,281/x
  3. Step 3: Cross multiply
    282,710x = 615,281 × 615,281
  4. Step 4: Simplify right side
    282,710x = 378,570,708,961
  5. Step 5: Solve for x
    x = 378,570,708,961/282,710
  6. Step 6: Final answer
    x = 1,339,077.89

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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.