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Finding the Third Proportional to 425,594.25 and 632,361

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Solution

The third proportional to 425,594.25 and 632,361 is: 939,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,594.25 : 632,361 = 632,361 : x
  2. Step 2: Convert to fraction form
    425,594.25/632,361 = 632,361/x
  3. Step 3: Cross multiply
    425,594.25x = 632,361 × 632,361
  4. Step 4: Simplify right side
    425,594.25x = 399,880,434,321
  5. Step 5: Solve for x
    x = 399,880,434,321/425,594.25
  6. Step 6: Final answer
    x = 939,581.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.