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Finding the Third Proportional to 469,064 and 726,765

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Solution

The third proportional to 469,064 and 726,765 is: 1,126,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,064 : 726,765 = 726,765 : x
  2. Step 2: Convert to fraction form
    469,064/726,765 = 726,765/x
  3. Step 3: Cross multiply
    469,064x = 726,765 × 726,765
  4. Step 4: Simplify right side
    469,064x = 528,187,365,225
  5. Step 5: Solve for x
    x = 528,187,365,225/469,064
  6. Step 6: Final answer
    x = 1,126,045.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.