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Finding the Third Proportional to 388,737 and 852,210

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Solution

The third proportional to 388,737 and 852,210 is: 1,868,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,737 : 852,210 = 852,210 : x
  2. Step 2: Convert to fraction form
    388,737/852,210 = 852,210/x
  3. Step 3: Cross multiply
    388,737x = 852,210 × 852,210
  4. Step 4: Simplify right side
    388,737x = 726,261,884,100
  5. Step 5: Solve for x
    x = 726,261,884,100/388,737
  6. Step 6: Final answer
    x = 1,868,260.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.