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Finding the Third Proportional to 334,716.38 and 735,854.63

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Solution

The third proportional to 334,716.38 and 735,854.63 is: 1,617,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,716.38 : 735,854.63 = 735,854.63 : x
  2. Step 2: Convert to fraction form
    334,716.38/735,854.63 = 735,854.63/x
  3. Step 3: Cross multiply
    334,716.38x = 735,854.63 × 735,854.63
  4. Step 4: Simplify right side
    334,716.38x = 541,482,029,133.89
  5. Step 5: Solve for x
    x = 541,482,029,133.89/334,716.38
  6. Step 6: Final answer
    x = 1,617,733.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.