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Finding the Third Proportional to 480,922.50 and 750,501

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Solution

The third proportional to 480,922.50 and 750,501 is: 1,171,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,922.50 : 750,501 = 750,501 : x
  2. Step 2: Convert to fraction form
    480,922.50/750,501 = 750,501/x
  3. Step 3: Cross multiply
    480,922.50x = 750,501 × 750,501
  4. Step 4: Simplify right side
    480,922.50x = 563,251,751,001
  5. Step 5: Solve for x
    x = 563,251,751,001/480,922.50
  6. Step 6: Final answer
    x = 1,171,190.27

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