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Finding the Third Proportional to 301,034 and 626,854

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Solution

The third proportional to 301,034 and 626,854 is: 1,305,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,034 : 626,854 = 626,854 : x
  2. Step 2: Convert to fraction form
    301,034/626,854 = 626,854/x
  3. Step 3: Cross multiply
    301,034x = 626,854 × 626,854
  4. Step 4: Simplify right side
    301,034x = 392,945,937,316
  5. Step 5: Solve for x
    x = 392,945,937,316/301,034
  6. Step 6: Final answer
    x = 1,305,320.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.