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Finding the Third Proportional to 602,396 and 933,267

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Solution

The third proportional to 602,396 and 933,267 is: 1,445,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,396 : 933,267 = 933,267 : x
  2. Step 2: Convert to fraction form
    602,396/933,267 = 933,267/x
  3. Step 3: Cross multiply
    602,396x = 933,267 × 933,267
  4. Step 4: Simplify right side
    602,396x = 870,987,293,289
  5. Step 5: Solve for x
    x = 870,987,293,289/602,396
  6. Step 6: Final answer
    x = 1,445,871.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.