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Finding the Third Proportional to 559,791 and 842,494.50

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Solution

The third proportional to 559,791 and 842,494.50 is: 1,267,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,791 : 842,494.50 = 842,494.50 : x
  2. Step 2: Convert to fraction form
    559,791/842,494.50 = 842,494.50/x
  3. Step 3: Cross multiply
    559,791x = 842,494.50 × 842,494.50
  4. Step 4: Simplify right side
    559,791x = 709,796,982,530.25
  5. Step 5: Solve for x
    x = 709,796,982,530.25/559,791
  6. Step 6: Final answer
    x = 1,267,967.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.