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Finding the Third Proportional to 352,480 and 567,418

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Solution

The third proportional to 352,480 and 567,418 is: 913,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,480 : 567,418 = 567,418 : x
  2. Step 2: Convert to fraction form
    352,480/567,418 = 567,418/x
  3. Step 3: Cross multiply
    352,480x = 567,418 × 567,418
  4. Step 4: Simplify right side
    352,480x = 321,963,186,724
  5. Step 5: Solve for x
    x = 321,963,186,724/352,480
  6. Step 6: Final answer
    x = 913,422.57

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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.