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Finding the Third Proportional to 334,375 and 721,237

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Solution

The third proportional to 334,375 and 721,237 is: 1,555,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,375 : 721,237 = 721,237 : x
  2. Step 2: Convert to fraction form
    334,375/721,237 = 721,237/x
  3. Step 3: Cross multiply
    334,375x = 721,237 × 721,237
  4. Step 4: Simplify right side
    334,375x = 520,182,810,169
  5. Step 5: Solve for x
    x = 520,182,810,169/334,375
  6. Step 6: Final answer
    x = 1,555,686.91

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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.