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Finding the Third Proportional to 434,466 and 606,960

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Solution

The third proportional to 434,466 and 606,960 is: 847,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,466 : 606,960 = 606,960 : x
  2. Step 2: Convert to fraction form
    434,466/606,960 = 606,960/x
  3. Step 3: Cross multiply
    434,466x = 606,960 × 606,960
  4. Step 4: Simplify right side
    434,466x = 368,400,441,600
  5. Step 5: Solve for x
    x = 368,400,441,600/434,466
  6. Step 6: Final answer
    x = 847,938.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.