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Finding the Third Proportional to 460,968.75 and 723,125.25

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Solution

The third proportional to 460,968.75 and 723,125.25 is: 1,134,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,968.75 : 723,125.25 = 723,125.25 : x
  2. Step 2: Convert to fraction form
    460,968.75/723,125.25 = 723,125.25/x
  3. Step 3: Cross multiply
    460,968.75x = 723,125.25 × 723,125.25
  4. Step 4: Simplify right side
    460,968.75x = 522,910,127,187.56
  5. Step 5: Solve for x
    x = 522,910,127,187.56/460,968.75
  6. Step 6: Final answer
    x = 1,134,372.18

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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.