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Finding the Third Proportional to 405,724.50 and 631,548

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Solution

The third proportional to 405,724.50 and 631,548 is: 983,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,724.50 : 631,548 = 631,548 : x
  2. Step 2: Convert to fraction form
    405,724.50/631,548 = 631,548/x
  3. Step 3: Cross multiply
    405,724.50x = 631,548 × 631,548
  4. Step 4: Simplify right side
    405,724.50x = 398,852,876,304
  5. Step 5: Solve for x
    x = 398,852,876,304/405,724.50
  6. Step 6: Final answer
    x = 983,063.33

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