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Finding the Third Proportional to 288,248 and 460,473

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Solution

The third proportional to 288,248 and 460,473 is: 735,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,248 : 460,473 = 460,473 : x
  2. Step 2: Convert to fraction form
    288,248/460,473 = 460,473/x
  3. Step 3: Cross multiply
    288,248x = 460,473 × 460,473
  4. Step 4: Simplify right side
    288,248x = 212,035,383,729
  5. Step 5: Solve for x
    x = 212,035,383,729/288,248
  6. Step 6: Final answer
    x = 735,600.54

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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.