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Finding the Third Proportional to 303,350 and 653,210

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Solution

The third proportional to 303,350 and 653,210 is: 1,406,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,350 : 653,210 = 653,210 : x
  2. Step 2: Convert to fraction form
    303,350/653,210 = 653,210/x
  3. Step 3: Cross multiply
    303,350x = 653,210 × 653,210
  4. Step 4: Simplify right side
    303,350x = 426,683,304,100
  5. Step 5: Solve for x
    x = 426,683,304,100/303,350
  6. Step 6: Final answer
    x = 1,406,570.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.