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Finding the Third Proportional to 288,768 and 460,800

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Solution

The third proportional to 288,768 and 460,800 is: 735,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,768 : 460,800 = 460,800 : x
  2. Step 2: Convert to fraction form
    288,768/460,800 = 460,800/x
  3. Step 3: Cross multiply
    288,768x = 460,800 × 460,800
  4. Step 4: Simplify right side
    288,768x = 212,336,640,000
  5. Step 5: Solve for x
    x = 212,336,640,000/288,768
  6. Step 6: Final answer
    x = 735,319.15

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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.