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Finding the Third Proportional to 288,206 and 460,418

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Solution

The third proportional to 288,206 and 460,418 is: 735,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,206 : 460,418 = 460,418 : x
  2. Step 2: Convert to fraction form
    288,206/460,418 = 460,418/x
  3. Step 3: Cross multiply
    288,206x = 460,418 × 460,418
  4. Step 4: Simplify right side
    288,206x = 211,984,734,724
  5. Step 5: Solve for x
    x = 211,984,734,724/288,206
  6. Step 6: Final answer
    x = 735,532.00

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.