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Finding the Third Proportional to 352,322 and 502,022

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Solution

The third proportional to 352,322 and 502,022 is: 715,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,322 : 502,022 = 502,022 : x
  2. Step 2: Convert to fraction form
    352,322/502,022 = 502,022/x
  3. Step 3: Cross multiply
    352,322x = 502,022 × 502,022
  4. Step 4: Simplify right side
    352,322x = 252,026,088,484
  5. Step 5: Solve for x
    x = 252,026,088,484/352,322
  6. Step 6: Final answer
    x = 715,328.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.