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Finding the Third Proportional to 425,596 and 632,364

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Solution

The third proportional to 425,596 and 632,364 is: 939,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,596 : 632,364 = 632,364 : x
  2. Step 2: Convert to fraction form
    425,596/632,364 = 632,364/x
  3. Step 3: Cross multiply
    425,596x = 632,364 × 632,364
  4. Step 4: Simplify right side
    425,596x = 399,884,228,496
  5. Step 5: Solve for x
    x = 399,884,228,496/425,596
  6. Step 6: Final answer
    x = 939,586.44

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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.