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Finding the Third Proportional to 388,838.81 and 808,717.08

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Solution

The third proportional to 388,838.81 and 808,717.08 is: 1,681,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,838.81 : 808,717.08 = 808,717.08 : x
  2. Step 2: Convert to fraction form
    388,838.81/808,717.08 = 808,717.08/x
  3. Step 3: Cross multiply
    388,838.81x = 808,717.08 × 808,717.08
  4. Step 4: Simplify right side
    388,838.81x = 654,023,312,451.04
  5. Step 5: Solve for x
    x = 654,023,312,451.04/388,838.81
  6. Step 6: Final answer
    x = 1,681,990.82

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.