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Finding the Third Proportional to 450,368 and 633,432

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Solution

The third proportional to 450,368 and 633,432 is: 890,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,368 : 633,432 = 633,432 : x
  2. Step 2: Convert to fraction form
    450,368/633,432 = 633,432/x
  3. Step 3: Cross multiply
    450,368x = 633,432 × 633,432
  4. Step 4: Simplify right side
    450,368x = 401,236,098,624
  5. Step 5: Solve for x
    x = 401,236,098,624/450,368
  6. Step 6: Final answer
    x = 890,907.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.