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Finding the Third Proportional to 285,537 and 614,136

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Solution

The third proportional to 285,537 and 614,136 is: 1,320,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,537 : 614,136 = 614,136 : x
  2. Step 2: Convert to fraction form
    285,537/614,136 = 614,136/x
  3. Step 3: Cross multiply
    285,537x = 614,136 × 614,136
  4. Step 4: Simplify right side
    285,537x = 377,163,026,496
  5. Step 5: Solve for x
    x = 377,163,026,496/285,537
  6. Step 6: Final answer
    x = 1,320,890.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.