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Finding the Third Proportional to 345,887 and 745,138

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Solution

The third proportional to 345,887 and 745,138 is: 1,605,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,887 : 745,138 = 745,138 : x
  2. Step 2: Convert to fraction form
    345,887/745,138 = 745,138/x
  3. Step 3: Cross multiply
    345,887x = 745,138 × 745,138
  4. Step 4: Simplify right side
    345,887x = 555,230,639,044
  5. Step 5: Solve for x
    x = 555,230,639,044/345,887
  6. Step 6: Final answer
    x = 1,605,237.08

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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.