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Finding the Third Proportional to 308,433 and 460,082

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Solution

The third proportional to 308,433 and 460,082 is: 686,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,433 : 460,082 = 460,082 : x
  2. Step 2: Convert to fraction form
    308,433/460,082 = 460,082/x
  3. Step 3: Cross multiply
    308,433x = 460,082 × 460,082
  4. Step 4: Simplify right side
    308,433x = 211,675,446,724
  5. Step 5: Solve for x
    x = 211,675,446,724/308,433
  6. Step 6: Final answer
    x = 686,293.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.