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Finding the Third Proportional to 245,814 and 516,348

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Solution

The third proportional to 245,814 and 516,348 is: 1,084,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,814 : 516,348 = 516,348 : x
  2. Step 2: Convert to fraction form
    245,814/516,348 = 516,348/x
  3. Step 3: Cross multiply
    245,814x = 516,348 × 516,348
  4. Step 4: Simplify right side
    245,814x = 266,615,257,104
  5. Step 5: Solve for x
    x = 266,615,257,104/245,814
  6. Step 6: Final answer
    x = 1,084,621.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.