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Finding the Third Proportional to 421,038 and 592,974

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Solution

The third proportional to 421,038 and 592,974 is: 835,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,038 : 592,974 = 592,974 : x
  2. Step 2: Convert to fraction form
    421,038/592,974 = 592,974/x
  3. Step 3: Cross multiply
    421,038x = 592,974 × 592,974
  4. Step 4: Simplify right side
    421,038x = 351,618,164,676
  5. Step 5: Solve for x
    x = 351,618,164,676/421,038
  6. Step 6: Final answer
    x = 835,122.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.