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Finding the Third Proportional to 584,413 and 933,623

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Solution

The third proportional to 584,413 and 933,623 is: 1,491,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,413 : 933,623 = 933,623 : x
  2. Step 2: Convert to fraction form
    584,413/933,623 = 933,623/x
  3. Step 3: Cross multiply
    584,413x = 933,623 × 933,623
  4. Step 4: Simplify right side
    584,413x = 871,651,906,129
  5. Step 5: Solve for x
    x = 871,651,906,129/584,413
  6. Step 6: Final answer
    x = 1,491,499.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.