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Finding the Third Proportional to 460,924.50 and 691,398.75

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Solution

The third proportional to 460,924.50 and 691,398.75 is: 1,037,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,924.50 : 691,398.75 = 691,398.75 : x
  2. Step 2: Convert to fraction form
    460,924.50/691,398.75 = 691,398.75/x
  3. Step 3: Cross multiply
    460,924.50x = 691,398.75 × 691,398.75
  4. Step 4: Simplify right side
    460,924.50x = 478,032,231,501.56
  5. Step 5: Solve for x
    x = 478,032,231,501.56/460,924.50
  6. Step 6: Final answer
    x = 1,037,116.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.