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Finding the Third Proportional to 350,136 and 540,748.50

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Solution

The third proportional to 350,136 and 540,748.50 is: 835,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,136 : 540,748.50 = 540,748.50 : x
  2. Step 2: Convert to fraction form
    350,136/540,748.50 = 540,748.50/x
  3. Step 3: Cross multiply
    350,136x = 540,748.50 × 540,748.50
  4. Step 4: Simplify right side
    350,136x = 292,408,940,252.25
  5. Step 5: Solve for x
    x = 292,408,940,252.25/350,136
  6. Step 6: Final answer
    x = 835,129.61

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