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Finding the Third Proportional to 250,730 and 529,136

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Solution

The third proportional to 250,730 and 529,136 is: 1,116,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,730 : 529,136 = 529,136 : x
  2. Step 2: Convert to fraction form
    250,730/529,136 = 529,136/x
  3. Step 3: Cross multiply
    250,730x = 529,136 × 529,136
  4. Step 4: Simplify right side
    250,730x = 279,984,906,496
  5. Step 5: Solve for x
    x = 279,984,906,496/250,730
  6. Step 6: Final answer
    x = 1,116,678.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.