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Finding the Third Proportional to 285,202 and 607,108

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Solution

The third proportional to 285,202 and 607,108 is: 1,292,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,202 : 607,108 = 607,108 : x
  2. Step 2: Convert to fraction form
    285,202/607,108 = 607,108/x
  3. Step 3: Cross multiply
    285,202x = 607,108 × 607,108
  4. Step 4: Simplify right side
    285,202x = 368,580,123,664
  5. Step 5: Solve for x
    x = 368,580,123,664/285,202
  6. Step 6: Final answer
    x = 1,292,347.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.