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Finding the Third Proportional to 388,210 and 848,389

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Solution

The third proportional to 388,210 and 848,389 is: 1,854,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,210 : 848,389 = 848,389 : x
  2. Step 2: Convert to fraction form
    388,210/848,389 = 848,389/x
  3. Step 3: Cross multiply
    388,210x = 848,389 × 848,389
  4. Step 4: Simplify right side
    388,210x = 719,763,895,321
  5. Step 5: Solve for x
    x = 719,763,895,321/388,210
  6. Step 6: Final answer
    x = 1,854,058.10

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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.