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Finding the Third Proportional to 389,448 and 591,480

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Solution

The third proportional to 389,448 and 591,480 is: 898,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,448 : 591,480 = 591,480 : x
  2. Step 2: Convert to fraction form
    389,448/591,480 = 591,480/x
  3. Step 3: Cross multiply
    389,448x = 591,480 × 591,480
  4. Step 4: Simplify right side
    389,448x = 349,848,590,400
  5. Step 5: Solve for x
    x = 349,848,590,400/389,448
  6. Step 6: Final answer
    x = 898,319.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.