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Finding the Third Proportional to 374,060 and 774,729

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Solution

The third proportional to 374,060 and 774,729 is: 1,604,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,060 : 774,729 = 774,729 : x
  2. Step 2: Convert to fraction form
    374,060/774,729 = 774,729/x
  3. Step 3: Cross multiply
    374,060x = 774,729 × 774,729
  4. Step 4: Simplify right side
    374,060x = 600,205,023,441
  5. Step 5: Solve for x
    x = 600,205,023,441/374,060
  6. Step 6: Final answer
    x = 1,604,568.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.