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Finding the Third Proportional to 301,423 and 650,169

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Solution

The third proportional to 301,423 and 650,169 is: 1,402,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,423 : 650,169 = 650,169 : x
  2. Step 2: Convert to fraction form
    301,423/650,169 = 650,169/x
  3. Step 3: Cross multiply
    301,423x = 650,169 × 650,169
  4. Step 4: Simplify right side
    301,423x = 422,719,728,561
  5. Step 5: Solve for x
    x = 422,719,728,561/301,423
  6. Step 6: Final answer
    x = 1,402,413.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.