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Finding the Third Proportional to 425,101.50 and 594,391.50

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Solution

The third proportional to 425,101.50 and 594,391.50 is: 831,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,101.50 : 594,391.50 = 594,391.50 : x
  2. Step 2: Convert to fraction form
    425,101.50/594,391.50 = 594,391.50/x
  3. Step 3: Cross multiply
    425,101.50x = 594,391.50 × 594,391.50
  4. Step 4: Simplify right side
    425,101.50x = 353,301,255,272.25
  5. Step 5: Solve for x
    x = 353,301,255,272.25/425,101.50
  6. Step 6: Final answer
    x = 831,098.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.