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Finding the Third Proportional to 452,136 and 614,055

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Solution

The third proportional to 452,136 and 614,055 is: 833,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,136 : 614,055 = 614,055 : x
  2. Step 2: Convert to fraction form
    452,136/614,055 = 614,055/x
  3. Step 3: Cross multiply
    452,136x = 614,055 × 614,055
  4. Step 4: Simplify right side
    452,136x = 377,063,543,025
  5. Step 5: Solve for x
    x = 377,063,543,025/452,136
  6. Step 6: Final answer
    x = 833,960.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.