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Finding the Third Proportional to 600,388 and 912,968

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Solution

The third proportional to 600,388 and 912,968 is: 1,388,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,388 : 912,968 = 912,968 : x
  2. Step 2: Convert to fraction form
    600,388/912,968 = 912,968/x
  3. Step 3: Cross multiply
    600,388x = 912,968 × 912,968
  4. Step 4: Simplify right side
    600,388x = 833,510,569,024
  5. Step 5: Solve for x
    x = 833,510,569,024/600,388
  6. Step 6: Final answer
    x = 1,388,286.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.