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Finding the Third Proportional to 602,214 and 901,323

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Solution

The third proportional to 602,214 and 901,323 is: 1,348,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,214 : 901,323 = 901,323 : x
  2. Step 2: Convert to fraction form
    602,214/901,323 = 901,323/x
  3. Step 3: Cross multiply
    602,214x = 901,323 × 901,323
  4. Step 4: Simplify right side
    602,214x = 812,383,150,329
  5. Step 5: Solve for x
    x = 812,383,150,329/602,214
  6. Step 6: Final answer
    x = 1,348,994.13

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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.