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Finding the Third Proportional to 352,420 and 567,450

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Solution

The third proportional to 352,420 and 567,450 is: 913,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,420 : 567,450 = 567,450 : x
  2. Step 2: Convert to fraction form
    352,420/567,450 = 567,450/x
  3. Step 3: Cross multiply
    352,420x = 567,450 × 567,450
  4. Step 4: Simplify right side
    352,420x = 321,999,502,500
  5. Step 5: Solve for x
    x = 321,999,502,500/352,420
  6. Step 6: Final answer
    x = 913,681.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.