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Finding the Third Proportional to 481,708 and 750,136

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Solution

The third proportional to 481,708 and 750,136 is: 1,168,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,708 : 750,136 = 750,136 : x
  2. Step 2: Convert to fraction form
    481,708/750,136 = 750,136/x
  3. Step 3: Cross multiply
    481,708x = 750,136 × 750,136
  4. Step 4: Simplify right side
    481,708x = 562,704,018,496
  5. Step 5: Solve for x
    x = 562,704,018,496/481,708
  6. Step 6: Final answer
    x = 1,168,143.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.