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Finding the Third Proportional to 402,290 and 837,648

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Solution

The third proportional to 402,290 and 837,648 is: 1,744,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,290 : 837,648 = 837,648 : x
  2. Step 2: Convert to fraction form
    402,290/837,648 = 837,648/x
  3. Step 3: Cross multiply
    402,290x = 837,648 × 837,648
  4. Step 4: Simplify right side
    402,290x = 701,654,171,904
  5. Step 5: Solve for x
    x = 701,654,171,904/402,290
  6. Step 6: Final answer
    x = 1,744,150.17

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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.