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Finding the Third Proportional to 602,290 and 880,774

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Solution

The third proportional to 602,290 and 880,774 is: 1,288,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,290 : 880,774 = 880,774 : x
  2. Step 2: Convert to fraction form
    602,290/880,774 = 880,774/x
  3. Step 3: Cross multiply
    602,290x = 880,774 × 880,774
  4. Step 4: Simplify right side
    602,290x = 775,762,839,076
  5. Step 5: Solve for x
    x = 775,762,839,076/602,290
  6. Step 6: Final answer
    x = 1,288,022.11

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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.