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Finding the Third Proportional to 346,651 and 745,042

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Solution

The third proportional to 346,651 and 745,042 is: 1,601,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,651 : 745,042 = 745,042 : x
  2. Step 2: Convert to fraction form
    346,651/745,042 = 745,042/x
  3. Step 3: Cross multiply
    346,651x = 745,042 × 745,042
  4. Step 4: Simplify right side
    346,651x = 555,087,581,764
  5. Step 5: Solve for x
    x = 555,087,581,764/346,651
  6. Step 6: Final answer
    x = 1,601,286.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.