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Finding the Third Proportional to 369,948 and 798,168

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Solution

The third proportional to 369,948 and 798,168 is: 1,722,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,948 : 798,168 = 798,168 : x
  2. Step 2: Convert to fraction form
    369,948/798,168 = 798,168/x
  3. Step 3: Cross multiply
    369,948x = 798,168 × 798,168
  4. Step 4: Simplify right side
    369,948x = 637,072,156,224
  5. Step 5: Solve for x
    x = 637,072,156,224/369,948
  6. Step 6: Final answer
    x = 1,722,058.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.