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Finding the Third Proportional to 345,252 and 525,084

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Solution

The third proportional to 345,252 and 525,084 is: 798,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,252 : 525,084 = 525,084 : x
  2. Step 2: Convert to fraction form
    345,252/525,084 = 525,084/x
  3. Step 3: Cross multiply
    345,252x = 525,084 × 525,084
  4. Step 4: Simplify right side
    345,252x = 275,713,207,056
  5. Step 5: Solve for x
    x = 275,713,207,056/345,252
  6. Step 6: Final answer
    x = 798,585.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.