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Finding the Third Proportional to 432,436.50 and 659,316

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Solution

The third proportional to 432,436.50 and 659,316 is: 1,005,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,436.50 : 659,316 = 659,316 : x
  2. Step 2: Convert to fraction form
    432,436.50/659,316 = 659,316/x
  3. Step 3: Cross multiply
    432,436.50x = 659,316 × 659,316
  4. Step 4: Simplify right side
    432,436.50x = 434,697,587,856
  5. Step 5: Solve for x
    x = 434,697,587,856/432,436.50
  6. Step 6: Final answer
    x = 1,005,228.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.