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Finding the Third Proportional to 602,215 and 901,324

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Solution

The third proportional to 602,215 and 901,324 is: 1,348,994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,215 : 901,324 = 901,324 : x
  2. Step 2: Convert to fraction form
    602,215/901,324 = 901,324/x
  3. Step 3: Cross multiply
    602,215x = 901,324 × 901,324
  4. Step 4: Simplify right side
    602,215x = 812,384,952,976
  5. Step 5: Solve for x
    x = 812,384,952,976/602,215
  6. Step 6: Final answer
    x = 1,348,994.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.