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Finding the Third Proportional to 282,722 and 615,304

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Solution

The third proportional to 282,722 and 615,304 is: 1,339,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,722 : 615,304 = 615,304 : x
  2. Step 2: Convert to fraction form
    282,722/615,304 = 615,304/x
  3. Step 3: Cross multiply
    282,722x = 615,304 × 615,304
  4. Step 4: Simplify right side
    282,722x = 378,599,012,416
  5. Step 5: Solve for x
    x = 378,599,012,416/282,722
  6. Step 6: Final answer
    x = 1,339,121.16

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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.