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Finding the Third Proportional to 434,599.50 and 671,583

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Solution

The third proportional to 434,599.50 and 671,583 is: 1,037,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,599.50 : 671,583 = 671,583 : x
  2. Step 2: Convert to fraction form
    434,599.50/671,583 = 671,583/x
  3. Step 3: Cross multiply
    434,599.50x = 671,583 × 671,583
  4. Step 4: Simplify right side
    434,599.50x = 451,023,725,889
  5. Step 5: Solve for x
    x = 451,023,725,889/434,599.50
  6. Step 6: Final answer
    x = 1,037,791.64

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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.