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Finding the Third Proportional to 346,275 and 741,818.25

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Solution

The third proportional to 346,275 and 741,818.25 is: 1,589,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,275 : 741,818.25 = 741,818.25 : x
  2. Step 2: Convert to fraction form
    346,275/741,818.25 = 741,818.25/x
  3. Step 3: Cross multiply
    346,275x = 741,818.25 × 741,818.25
  4. Step 4: Simplify right side
    346,275x = 550,294,316,033.06
  5. Step 5: Solve for x
    x = 550,294,316,033.06/346,275
  6. Step 6: Final answer
    x = 1,589,182.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.