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Finding the Third Proportional to 481,637.50 and 750,034

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Solution

The third proportional to 481,637.50 and 750,034 is: 1,167,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,637.50 : 750,034 = 750,034 : x
  2. Step 2: Convert to fraction form
    481,637.50/750,034 = 750,034/x
  3. Step 3: Cross multiply
    481,637.50x = 750,034 × 750,034
  4. Step 4: Simplify right side
    481,637.50x = 562,551,001,156
  5. Step 5: Solve for x
    x = 562,551,001,156/481,637.50
  6. Step 6: Final answer
    x = 1,167,996.68

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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.