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Finding the Third Proportional to 288,211 and 460,423

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Solution

The third proportional to 288,211 and 460,423 is: 735,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,211 : 460,423 = 460,423 : x
  2. Step 2: Convert to fraction form
    288,211/460,423 = 460,423/x
  3. Step 3: Cross multiply
    288,211x = 460,423 × 460,423
  4. Step 4: Simplify right side
    288,211x = 211,989,338,929
  5. Step 5: Solve for x
    x = 211,989,338,929/288,211
  6. Step 6: Final answer
    x = 735,535.21

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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.