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Finding the Third Proportional to 413,254.50 and 638,583

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Solution

The third proportional to 413,254.50 and 638,583 is: 986,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,254.50 : 638,583 = 638,583 : x
  2. Step 2: Convert to fraction form
    413,254.50/638,583 = 638,583/x
  3. Step 3: Cross multiply
    413,254.50x = 638,583 × 638,583
  4. Step 4: Simplify right side
    413,254.50x = 407,788,247,889
  5. Step 5: Solve for x
    x = 407,788,247,889/413,254.50
  6. Step 6: Final answer
    x = 986,772.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.