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Finding the Third Proportional to 404,280 and 632,304

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Solution

The third proportional to 404,280 and 632,304 is: 988,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,280 : 632,304 = 632,304 : x
  2. Step 2: Convert to fraction form
    404,280/632,304 = 632,304/x
  3. Step 3: Cross multiply
    404,280x = 632,304 × 632,304
  4. Step 4: Simplify right side
    404,280x = 399,808,348,416
  5. Step 5: Solve for x
    x = 399,808,348,416/404,280
  6. Step 6: Final answer
    x = 988,939.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.