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Finding the Third Proportional to 346,758 and 757,020

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Solution

The third proportional to 346,758 and 757,020 is: 1,652,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,758 : 757,020 = 757,020 : x
  2. Step 2: Convert to fraction form
    346,758/757,020 = 757,020/x
  3. Step 3: Cross multiply
    346,758x = 757,020 × 757,020
  4. Step 4: Simplify right side
    346,758x = 573,079,280,400
  5. Step 5: Solve for x
    x = 573,079,280,400/346,758
  6. Step 6: Final answer
    x = 1,652,677.89

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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.