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Finding the Third Proportional to 714,339 and 972,796.50

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Solution

The third proportional to 714,339 and 972,796.50 is: 1,324,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,339 : 972,796.50 = 972,796.50 : x
  2. Step 2: Convert to fraction form
    714,339/972,796.50 = 972,796.50/x
  3. Step 3: Cross multiply
    714,339x = 972,796.50 × 972,796.50
  4. Step 4: Simplify right side
    714,339x = 946,333,030,412.25
  5. Step 5: Solve for x
    x = 946,333,030,412.25/714,339
  6. Step 6: Final answer
    x = 1,324,767.41

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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.