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Finding the Third Proportional to 364,610 and 559,683

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Solution

The third proportional to 364,610 and 559,683 is: 859,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,610 : 559,683 = 559,683 : x
  2. Step 2: Convert to fraction form
    364,610/559,683 = 559,683/x
  3. Step 3: Cross multiply
    364,610x = 559,683 × 559,683
  4. Step 4: Simplify right side
    364,610x = 313,245,060,489
  5. Step 5: Solve for x
    x = 313,245,060,489/364,610
  6. Step 6: Final answer
    x = 859,123.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.