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Finding the Third Proportional to 442,252 and 701,409

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Solution

The third proportional to 442,252 and 701,409 is: 1,112,430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,252 : 701,409 = 701,409 : x
  2. Step 2: Convert to fraction form
    442,252/701,409 = 701,409/x
  3. Step 3: Cross multiply
    442,252x = 701,409 × 701,409
  4. Step 4: Simplify right side
    442,252x = 491,974,585,281
  5. Step 5: Solve for x
    x = 491,974,585,281/442,252
  6. Step 6: Final answer
    x = 1,112,430.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.