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Finding the Third Proportional to 734,154 and 967,527

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Solution

The third proportional to 734,154 and 967,527 is: 1,275,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,154 : 967,527 = 967,527 : x
  2. Step 2: Convert to fraction form
    734,154/967,527 = 967,527/x
  3. Step 3: Cross multiply
    734,154x = 967,527 × 967,527
  4. Step 4: Simplify right side
    734,154x = 936,108,495,729
  5. Step 5: Solve for x
    x = 936,108,495,729/734,154
  6. Step 6: Final answer
    x = 1,275,084.65

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.