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Finding the Third Proportional to 367,234 and 778,574

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Solution

The third proportional to 367,234 and 778,574 is: 1,650,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,234 : 778,574 = 778,574 : x
  2. Step 2: Convert to fraction form
    367,234/778,574 = 778,574/x
  3. Step 3: Cross multiply
    367,234x = 778,574 × 778,574
  4. Step 4: Simplify right side
    367,234x = 606,177,473,476
  5. Step 5: Solve for x
    x = 606,177,473,476/367,234
  6. Step 6: Final answer
    x = 1,650,657.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.