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Finding the Third Proportional to 408,994 and 631,731

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Solution

The third proportional to 408,994 and 631,731 is: 975,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,994 : 631,731 = 631,731 : x
  2. Step 2: Convert to fraction form
    408,994/631,731 = 631,731/x
  3. Step 3: Cross multiply
    408,994x = 631,731 × 631,731
  4. Step 4: Simplify right side
    408,994x = 399,084,056,361
  5. Step 5: Solve for x
    x = 399,084,056,361/408,994
  6. Step 6: Final answer
    x = 975,769.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.