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Finding the Third Proportional to 288,966.75 and 460,205.25

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Solution

The third proportional to 288,966.75 and 460,205.25 is: 732,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,966.75 : 460,205.25 = 460,205.25 : x
  2. Step 2: Convert to fraction form
    288,966.75/460,205.25 = 460,205.25/x
  3. Step 3: Cross multiply
    288,966.75x = 460,205.25 × 460,205.25
  4. Step 4: Simplify right side
    288,966.75x = 211,788,872,127.56
  5. Step 5: Solve for x
    x = 211,788,872,127.56/288,966.75
  6. Step 6: Final answer
    x = 732,917.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.