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Finding the Third Proportional to 452,138 and 632,154

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Solution

The third proportional to 452,138 and 632,154 is: 883,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,138 : 632,154 = 632,154 : x
  2. Step 2: Convert to fraction form
    452,138/632,154 = 632,154/x
  3. Step 3: Cross multiply
    452,138x = 632,154 × 632,154
  4. Step 4: Simplify right side
    452,138x = 399,618,679,716
  5. Step 5: Solve for x
    x = 399,618,679,716/452,138
  6. Step 6: Final answer
    x = 883,842.28

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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.