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Finding the Third Proportional to 388,813.50 and 808,650

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Solution

The third proportional to 388,813.50 and 808,650 is: 1,681,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,813.50 : 808,650 = 808,650 : x
  2. Step 2: Convert to fraction form
    388,813.50/808,650 = 808,650/x
  3. Step 3: Cross multiply
    388,813.50x = 808,650 × 808,650
  4. Step 4: Simplify right side
    388,813.50x = 653,914,822,500
  5. Step 5: Solve for x
    x = 653,914,822,500/388,813.50
  6. Step 6: Final answer
    x = 1,681,821.29

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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.