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Finding the Third Proportional to 397,320 and 870,222

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Solution

The third proportional to 397,320 and 870,222 is: 1,905,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,320 : 870,222 = 870,222 : x
  2. Step 2: Convert to fraction form
    397,320/870,222 = 870,222/x
  3. Step 3: Cross multiply
    397,320x = 870,222 × 870,222
  4. Step 4: Simplify right side
    397,320x = 757,286,329,284
  5. Step 5: Solve for x
    x = 757,286,329,284/397,320
  6. Step 6: Final answer
    x = 1,905,985.93

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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.