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Finding the Third Proportional to 432,313.50 and 690,630

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Solution

The third proportional to 432,313.50 and 690,630 is: 1,103,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,313.50 : 690,630 = 690,630 : x
  2. Step 2: Convert to fraction form
    432,313.50/690,630 = 690,630/x
  3. Step 3: Cross multiply
    432,313.50x = 690,630 × 690,630
  4. Step 4: Simplify right side
    432,313.50x = 476,969,796,900
  5. Step 5: Solve for x
    x = 476,969,796,900/432,313.50
  6. Step 6: Final answer
    x = 1,103,296.10

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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.