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Finding the Third Proportional to 303,580 and 653,082

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Solution

The third proportional to 303,580 and 653,082 is: 1,404,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,580 : 653,082 = 653,082 : x
  2. Step 2: Convert to fraction form
    303,580/653,082 = 653,082/x
  3. Step 3: Cross multiply
    303,580x = 653,082 × 653,082
  4. Step 4: Simplify right side
    303,580x = 426,516,098,724
  5. Step 5: Solve for x
    x = 426,516,098,724/303,580
  6. Step 6: Final answer
    x = 1,404,954.54

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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.