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Finding the Third Proportional to 346,761 and 757,026

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Solution

The third proportional to 346,761 and 757,026 is: 1,652,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,761 : 757,026 = 757,026 : x
  2. Step 2: Convert to fraction form
    346,761/757,026 = 757,026/x
  3. Step 3: Cross multiply
    346,761x = 757,026 × 757,026
  4. Step 4: Simplify right side
    346,761x = 573,088,364,676
  5. Step 5: Solve for x
    x = 573,088,364,676/346,761
  6. Step 6: Final answer
    x = 1,652,689.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.