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Finding the Third Proportional to 460,969 and 723,126

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Solution

The third proportional to 460,969 and 723,126 is: 1,134,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,969 : 723,126 = 723,126 : x
  2. Step 2: Convert to fraction form
    460,969/723,126 = 723,126/x
  3. Step 3: Cross multiply
    460,969x = 723,126 × 723,126
  4. Step 4: Simplify right side
    460,969x = 522,911,211,876
  5. Step 5: Solve for x
    x = 522,911,211,876/460,969
  6. Step 6: Final answer
    x = 1,134,373.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.