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Finding the Third Proportional to 388,401.75 and 830,772

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Solution

The third proportional to 388,401.75 and 830,772 is: 1,776,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,401.75 : 830,772 = 830,772 : x
  2. Step 2: Convert to fraction form
    388,401.75/830,772 = 830,772/x
  3. Step 3: Cross multiply
    388,401.75x = 830,772 × 830,772
  4. Step 4: Simplify right side
    388,401.75x = 690,182,115,984
  5. Step 5: Solve for x
    x = 690,182,115,984/388,401.75
  6. Step 6: Final answer
    x = 1,776,979.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.