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Finding the Third Proportional to 388,568 and 841,648

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Solution

The third proportional to 388,568 and 841,648 is: 1,823,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,568 : 841,648 = 841,648 : x
  2. Step 2: Convert to fraction form
    388,568/841,648 = 841,648/x
  3. Step 3: Cross multiply
    388,568x = 841,648 × 841,648
  4. Step 4: Simplify right side
    388,568x = 708,371,355,904
  5. Step 5: Solve for x
    x = 708,371,355,904/388,568
  6. Step 6: Final answer
    x = 1,823,030.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.