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Finding the Third Proportional to 384,438 and 591,702

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Solution

The third proportional to 384,438 and 591,702 is: 910,709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,438 : 591,702 = 591,702 : x
  2. Step 2: Convert to fraction form
    384,438/591,702 = 591,702/x
  3. Step 3: Cross multiply
    384,438x = 591,702 × 591,702
  4. Step 4: Simplify right side
    384,438x = 350,111,256,804
  5. Step 5: Solve for x
    x = 350,111,256,804/384,438
  6. Step 6: Final answer
    x = 910,709.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.