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Finding the Third Proportional to 359,136 and 751,537.50

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Solution

The third proportional to 359,136 and 751,537.50 is: 1,572,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,136 : 751,537.50 = 751,537.50 : x
  2. Step 2: Convert to fraction form
    359,136/751,537.50 = 751,537.50/x
  3. Step 3: Cross multiply
    359,136x = 751,537.50 × 751,537.50
  4. Step 4: Simplify right side
    359,136x = 564,808,613,906.25
  5. Step 5: Solve for x
    x = 564,808,613,906.25/359,136
  6. Step 6: Final answer
    x = 1,572,687.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.