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Finding the Third Proportional to 397,663 and 602,283

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Solution

The third proportional to 397,663 and 602,283 is: 912,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,663 : 602,283 = 602,283 : x
  2. Step 2: Convert to fraction form
    397,663/602,283 = 602,283/x
  3. Step 3: Cross multiply
    397,663x = 602,283 × 602,283
  4. Step 4: Simplify right side
    397,663x = 362,744,812,089
  5. Step 5: Solve for x
    x = 362,744,812,089/397,663
  6. Step 6: Final answer
    x = 912,191.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.