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Finding the Third Proportional to 335,273 and 727,314

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Solution

The third proportional to 335,273 and 727,314 is: 1,577,775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,273 : 727,314 = 727,314 : x
  2. Step 2: Convert to fraction form
    335,273/727,314 = 727,314/x
  3. Step 3: Cross multiply
    335,273x = 727,314 × 727,314
  4. Step 4: Simplify right side
    335,273x = 528,985,654,596
  5. Step 5: Solve for x
    x = 528,985,654,596/335,273
  6. Step 6: Final answer
    x = 1,577,775.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.