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Finding the Third Proportional to 384,473 and 591,768

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Solution

The third proportional to 384,473 and 591,768 is: 910,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,473 : 591,768 = 591,768 : x
  2. Step 2: Convert to fraction form
    384,473/591,768 = 591,768/x
  3. Step 3: Cross multiply
    384,473x = 591,768 × 591,768
  4. Step 4: Simplify right side
    384,473x = 350,189,365,824
  5. Step 5: Solve for x
    x = 350,189,365,824/384,473
  6. Step 6: Final answer
    x = 910,829.54

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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.