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Finding the Third Proportional to 352,960 and 761,216

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Solution

The third proportional to 352,960 and 761,216 is: 1,641,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,960 : 761,216 = 761,216 : x
  2. Step 2: Convert to fraction form
    352,960/761,216 = 761,216/x
  3. Step 3: Cross multiply
    352,960x = 761,216 × 761,216
  4. Step 4: Simplify right side
    352,960x = 579,449,798,656
  5. Step 5: Solve for x
    x = 579,449,798,656/352,960
  6. Step 6: Final answer
    x = 1,641,686.87

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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.