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Finding the Third Proportional to 432,322 and 690,643.50

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Solution

The third proportional to 432,322 and 690,643.50 is: 1,103,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,322 : 690,643.50 = 690,643.50 : x
  2. Step 2: Convert to fraction form
    432,322/690,643.50 = 690,643.50/x
  3. Step 3: Cross multiply
    432,322x = 690,643.50 × 690,643.50
  4. Step 4: Simplify right side
    432,322x = 476,988,444,092.25
  5. Step 5: Solve for x
    x = 476,988,444,092.25/432,322
  6. Step 6: Final answer
    x = 1,103,317.54

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