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Finding the Third Proportional to 210,592 and 497,136

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Solution

The third proportional to 210,592 and 497,136 is: 1,173,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,592 : 497,136 = 497,136 : x
  2. Step 2: Convert to fraction form
    210,592/497,136 = 497,136/x
  3. Step 3: Cross multiply
    210,592x = 497,136 × 497,136
  4. Step 4: Simplify right side
    210,592x = 247,144,202,496
  5. Step 5: Solve for x
    x = 247,144,202,496/210,592
  6. Step 6: Final answer
    x = 1,173,568.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.