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Finding the Third Proportional to 282,035 and 615,516

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Solution

The third proportional to 282,035 and 615,516 is: 1,343,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,035 : 615,516 = 615,516 : x
  2. Step 2: Convert to fraction form
    282,035/615,516 = 615,516/x
  3. Step 3: Cross multiply
    282,035x = 615,516 × 615,516
  4. Step 4: Simplify right side
    282,035x = 378,859,946,256
  5. Step 5: Solve for x
    x = 378,859,946,256/282,035
  6. Step 6: Final answer
    x = 1,343,308.26

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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.