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Finding the Third Proportional to 437,420 and 632,154

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Solution

The third proportional to 437,420 and 632,154 is: 913,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,420 : 632,154 = 632,154 : x
  2. Step 2: Convert to fraction form
    437,420/632,154 = 632,154/x
  3. Step 3: Cross multiply
    437,420x = 632,154 × 632,154
  4. Step 4: Simplify right side
    437,420x = 399,618,679,716
  5. Step 5: Solve for x
    x = 399,618,679,716/437,420
  6. Step 6: Final answer
    x = 913,581.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.