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Finding the Third Proportional to 282,192 and 615,796

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Solution

The third proportional to 282,192 and 615,796 is: 1,343,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,192 : 615,796 = 615,796 : x
  2. Step 2: Convert to fraction form
    282,192/615,796 = 615,796/x
  3. Step 3: Cross multiply
    282,192x = 615,796 × 615,796
  4. Step 4: Simplify right side
    282,192x = 379,204,713,616
  5. Step 5: Solve for x
    x = 379,204,713,616/282,192
  6. Step 6: Final answer
    x = 1,343,782.65

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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.