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Finding the Third Proportional to 284,800 and 615,284

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Solution

The third proportional to 284,800 and 615,284 is: 1,329,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,800 : 615,284 = 615,284 : x
  2. Step 2: Convert to fraction form
    284,800/615,284 = 615,284/x
  3. Step 3: Cross multiply
    284,800x = 615,284 × 615,284
  4. Step 4: Simplify right side
    284,800x = 378,574,400,656
  5. Step 5: Solve for x
    x = 378,574,400,656/284,800
  6. Step 6: Final answer
    x = 1,329,264.05

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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.