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Finding the Third Proportional to 602,174 and 908,364

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Solution

The third proportional to 602,174 and 908,364 is: 1,370,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,174 : 908,364 = 908,364 : x
  2. Step 2: Convert to fraction form
    602,174/908,364 = 908,364/x
  3. Step 3: Cross multiply
    602,174x = 908,364 × 908,364
  4. Step 4: Simplify right side
    602,174x = 825,125,156,496
  5. Step 5: Solve for x
    x = 825,125,156,496/602,174
  6. Step 6: Final answer
    x = 1,370,243.74

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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.