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Finding the Third Proportional to 288,474 and 632,304

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Solution

The third proportional to 288,474 and 632,304 is: 1,385,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,474 : 632,304 = 632,304 : x
  2. Step 2: Convert to fraction form
    288,474/632,304 = 632,304/x
  3. Step 3: Cross multiply
    288,474x = 632,304 × 632,304
  4. Step 4: Simplify right side
    288,474x = 399,808,348,416
  5. Step 5: Solve for x
    x = 399,808,348,416/288,474
  6. Step 6: Final answer
    x = 1,385,942.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.