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Finding the Third Proportional to 363,582 and 785,238

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Solution

The third proportional to 363,582 and 785,238 is: 1,695,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,582 : 785,238 = 785,238 : x
  2. Step 2: Convert to fraction form
    363,582/785,238 = 785,238/x
  3. Step 3: Cross multiply
    363,582x = 785,238 × 785,238
  4. Step 4: Simplify right side
    363,582x = 616,598,716,644
  5. Step 5: Solve for x
    x = 616,598,716,644/363,582
  6. Step 6: Final answer
    x = 1,695,900.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.