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Finding the Third Proportional to 373,084 and 805,136

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Solution

The third proportional to 373,084 and 805,136 is: 1,737,528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,084 : 805,136 = 805,136 : x
  2. Step 2: Convert to fraction form
    373,084/805,136 = 805,136/x
  3. Step 3: Cross multiply
    373,084x = 805,136 × 805,136
  4. Step 4: Simplify right side
    373,084x = 648,243,978,496
  5. Step 5: Solve for x
    x = 648,243,978,496/373,084
  6. Step 6: Final answer
    x = 1,737,528.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.