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Finding the Third Proportional to 421,767 and 909,967.50

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Solution

The third proportional to 421,767 and 909,967.50 is: 1,963,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,767 : 909,967.50 = 909,967.50 : x
  2. Step 2: Convert to fraction form
    421,767/909,967.50 = 909,967.50/x
  3. Step 3: Cross multiply
    421,767x = 909,967.50 × 909,967.50
  4. Step 4: Simplify right side
    421,767x = 828,040,851,056.25
  5. Step 5: Solve for x
    x = 828,040,851,056.25/421,767
  6. Step 6: Final answer
    x = 1,963,266.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.