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Finding the Third Proportional to 364,035 and 569,819

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Solution

The third proportional to 364,035 and 569,819 is: 891,929.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,035 : 569,819 = 569,819 : x
  2. Step 2: Convert to fraction form
    364,035/569,819 = 569,819/x
  3. Step 3: Cross multiply
    364,035x = 569,819 × 569,819
  4. Step 4: Simplify right side
    364,035x = 324,693,692,761
  5. Step 5: Solve for x
    x = 324,693,692,761/364,035
  6. Step 6: Final answer
    x = 891,929.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.