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Finding the Third Proportional to 285,048 and 602,136

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Solution

The third proportional to 285,048 and 602,136 is: 1,271,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,048 : 602,136 = 602,136 : x
  2. Step 2: Convert to fraction form
    285,048/602,136 = 602,136/x
  3. Step 3: Cross multiply
    285,048x = 602,136 × 602,136
  4. Step 4: Simplify right side
    285,048x = 362,567,762,496
  5. Step 5: Solve for x
    x = 362,567,762,496/285,048
  6. Step 6: Final answer
    x = 1,271,953.36

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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.