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Finding the Third Proportional to 515,136 and 788,012

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Solution

The third proportional to 515,136 and 788,012 is: 1,205,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,136 : 788,012 = 788,012 : x
  2. Step 2: Convert to fraction form
    515,136/788,012 = 788,012/x
  3. Step 3: Cross multiply
    515,136x = 788,012 × 788,012
  4. Step 4: Simplify right side
    515,136x = 620,962,912,144
  5. Step 5: Solve for x
    x = 620,962,912,144/515,136
  6. Step 6: Final answer
    x = 1,205,434.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.