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Finding the Third Proportional to 352,269 and 503,587.13

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Solution

The third proportional to 352,269 and 503,587.13 is: 719,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,269 : 503,587.13 = 503,587.13 : x
  2. Step 2: Convert to fraction form
    352,269/503,587.13 = 503,587.13/x
  3. Step 3: Cross multiply
    352,269x = 503,587.13 × 503,587.13
  4. Step 4: Simplify right side
    352,269x = 253,599,992,465.77
  5. Step 5: Solve for x
    x = 253,599,992,465.77/352,269
  6. Step 6: Final answer
    x = 719,904.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.