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Finding the Third Proportional to 389,623 and 527,986

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Solution

The third proportional to 389,623 and 527,986 is: 715,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,623 : 527,986 = 527,986 : x
  2. Step 2: Convert to fraction form
    389,623/527,986 = 527,986/x
  3. Step 3: Cross multiply
    389,623x = 527,986 × 527,986
  4. Step 4: Simplify right side
    389,623x = 278,769,216,196
  5. Step 5: Solve for x
    x = 278,769,216,196/389,623
  6. Step 6: Final answer
    x = 715,484.50

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.