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Finding the Third Proportional to 282,780 and 615,312

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Solution

The third proportional to 282,780 and 615,312 is: 1,338,881.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,780 : 615,312 = 615,312 : x
  2. Step 2: Convert to fraction form
    282,780/615,312 = 615,312/x
  3. Step 3: Cross multiply
    282,780x = 615,312 × 615,312
  4. Step 4: Simplify right side
    282,780x = 378,608,857,344
  5. Step 5: Solve for x
    x = 378,608,857,344/282,780
  6. Step 6: Final answer
    x = 1,338,881.31

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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.