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Finding the Third Proportional to 264,960 and 409,346

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Solution

The third proportional to 264,960 and 409,346 is: 632,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,960 : 409,346 = 409,346 : x
  2. Step 2: Convert to fraction form
    264,960/409,346 = 409,346/x
  3. Step 3: Cross multiply
    264,960x = 409,346 × 409,346
  4. Step 4: Simplify right side
    264,960x = 167,564,147,716
  5. Step 5: Solve for x
    x = 167,564,147,716/264,960
  6. Step 6: Final answer
    x = 632,413.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.