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Finding the Third Proportional to 602,166 and 908,352

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Solution

The third proportional to 602,166 and 908,352 is: 1,370,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,166 : 908,352 = 908,352 : x
  2. Step 2: Convert to fraction form
    602,166/908,352 = 908,352/x
  3. Step 3: Cross multiply
    602,166x = 908,352 × 908,352
  4. Step 4: Simplify right side
    602,166x = 825,103,355,904
  5. Step 5: Solve for x
    x = 825,103,355,904/602,166
  6. Step 6: Final answer
    x = 1,370,225.74

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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.