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Finding the Third Proportional to 456,092 and 715,469.50

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Solution

The third proportional to 456,092 and 715,469.50 is: 1,122,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,092 : 715,469.50 = 715,469.50 : x
  2. Step 2: Convert to fraction form
    456,092/715,469.50 = 715,469.50/x
  3. Step 3: Cross multiply
    456,092x = 715,469.50 × 715,469.50
  4. Step 4: Simplify right side
    456,092x = 511,896,605,430.25
  5. Step 5: Solve for x
    x = 511,896,605,430.25/456,092
  6. Step 6: Final answer
    x = 1,122,353.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.