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Finding the Third Proportional to 461,421 and 620,851.50

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Solution

The third proportional to 461,421 and 620,851.50 is: 835,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,421 : 620,851.50 = 620,851.50 : x
  2. Step 2: Convert to fraction form
    461,421/620,851.50 = 620,851.50/x
  3. Step 3: Cross multiply
    461,421x = 620,851.50 × 620,851.50
  4. Step 4: Simplify right side
    461,421x = 385,456,585,052.25
  5. Step 5: Solve for x
    x = 385,456,585,052.25/461,421
  6. Step 6: Final answer
    x = 835,368.54

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.