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Finding the Third Proportional to 284,796 and 615,276

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Solution

The third proportional to 284,796 and 615,276 is: 1,329,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,796 : 615,276 = 615,276 : x
  2. Step 2: Convert to fraction form
    284,796/615,276 = 615,276/x
  3. Step 3: Cross multiply
    284,796x = 615,276 × 615,276
  4. Step 4: Simplify right side
    284,796x = 378,564,556,176
  5. Step 5: Solve for x
    x = 378,564,556,176/284,796
  6. Step 6: Final answer
    x = 1,329,248.15

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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.