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Finding the Third Proportional to 352,927.13 and 532,705.36

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Solution

The third proportional to 352,927.13 and 532,705.36 is: 804,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,927.13 : 532,705.36 = 532,705.36 : x
  2. Step 2: Convert to fraction form
    352,927.13/532,705.36 = 532,705.36/x
  3. Step 3: Cross multiply
    352,927.13x = 532,705.36 × 532,705.36
  4. Step 4: Simplify right side
    352,927.13x = 283,774,999,906.85
  5. Step 5: Solve for x
    x = 283,774,999,906.85/352,927.13
  6. Step 6: Final answer
    x = 804,061.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.