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Finding the Third Proportional to 432,173 and 654,221.50

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Solution

The third proportional to 432,173 and 654,221.50 is: 990,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,173 : 654,221.50 = 654,221.50 : x
  2. Step 2: Convert to fraction form
    432,173/654,221.50 = 654,221.50/x
  3. Step 3: Cross multiply
    432,173x = 654,221.50 × 654,221.50
  4. Step 4: Simplify right side
    432,173x = 428,005,771,062.25
  5. Step 5: Solve for x
    x = 428,005,771,062.25/432,173
  6. Step 6: Final answer
    x = 990,357.50

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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.