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Finding the Third Proportional to 374,868 and 808,785

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Solution

The third proportional to 374,868 and 808,785 is: 1,744,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,868 : 808,785 = 808,785 : x
  2. Step 2: Convert to fraction form
    374,868/808,785 = 808,785/x
  3. Step 3: Cross multiply
    374,868x = 808,785 × 808,785
  4. Step 4: Simplify right side
    374,868x = 654,133,176,225
  5. Step 5: Solve for x
    x = 654,133,176,225/374,868
  6. Step 6: Final answer
    x = 1,744,969.37

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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.