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Finding the Third Proportional to 389,022 and 591,528

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Solution

The third proportional to 389,022 and 591,528 is: 899,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,022 : 591,528 = 591,528 : x
  2. Step 2: Convert to fraction form
    389,022/591,528 = 591,528/x
  3. Step 3: Cross multiply
    389,022x = 591,528 × 591,528
  4. Step 4: Simplify right side
    389,022x = 349,905,374,784
  5. Step 5: Solve for x
    x = 349,905,374,784/389,022
  6. Step 6: Final answer
    x = 899,448.81

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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.