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Finding the Third Proportional to 285,072 and 615,344

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Solution

The third proportional to 285,072 and 615,344 is: 1,328,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,072 : 615,344 = 615,344 : x
  2. Step 2: Convert to fraction form
    285,072/615,344 = 615,344/x
  3. Step 3: Cross multiply
    285,072x = 615,344 × 615,344
  4. Step 4: Simplify right side
    285,072x = 378,648,238,336
  5. Step 5: Solve for x
    x = 378,648,238,336/285,072
  6. Step 6: Final answer
    x = 1,328,254.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.