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Finding the Third Proportional to 374,256 and 801,888

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Solution

The third proportional to 374,256 and 801,888 is: 1,718,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,256 : 801,888 = 801,888 : x
  2. Step 2: Convert to fraction form
    374,256/801,888 = 801,888/x
  3. Step 3: Cross multiply
    374,256x = 801,888 × 801,888
  4. Step 4: Simplify right side
    374,256x = 643,024,364,544
  5. Step 5: Solve for x
    x = 643,024,364,544/374,256
  6. Step 6: Final answer
    x = 1,718,140.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.