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Finding the Third Proportional to 602,172 and 908,361

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Solution

The third proportional to 602,172 and 908,361 is: 1,370,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,172 : 908,361 = 908,361 : x
  2. Step 2: Convert to fraction form
    602,172/908,361 = 908,361/x
  3. Step 3: Cross multiply
    602,172x = 908,361 × 908,361
  4. Step 4: Simplify right side
    602,172x = 825,119,706,321
  5. Step 5: Solve for x
    x = 825,119,706,321/602,172
  6. Step 6: Final answer
    x = 1,370,239.24

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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.