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Finding the Third Proportional to 636,880 and 929,065

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Solution

The third proportional to 636,880 and 929,065 is: 1,355,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,880 : 929,065 = 929,065 : x
  2. Step 2: Convert to fraction form
    636,880/929,065 = 929,065/x
  3. Step 3: Cross multiply
    636,880x = 929,065 × 929,065
  4. Step 4: Simplify right side
    636,880x = 863,161,774,225
  5. Step 5: Solve for x
    x = 863,161,774,225/636,880
  6. Step 6: Final answer
    x = 1,355,297.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.