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Finding the Third Proportional to 350,920.50 and 500,136

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Solution

The third proportional to 350,920.50 and 500,136 is: 712,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,920.50 : 500,136 = 500,136 : x
  2. Step 2: Convert to fraction form
    350,920.50/500,136 = 500,136/x
  3. Step 3: Cross multiply
    350,920.50x = 500,136 × 500,136
  4. Step 4: Simplify right side
    350,920.50x = 250,136,018,496
  5. Step 5: Solve for x
    x = 250,136,018,496/350,920.50
  6. Step 6: Final answer
    x = 712,799.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.