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Finding the Third Proportional to 250,461 and 377,851.50

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Solution

The third proportional to 250,461 and 377,851.50 is: 570,035.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,461 : 377,851.50 = 377,851.50 : x
  2. Step 2: Convert to fraction form
    250,461/377,851.50 = 377,851.50/x
  3. Step 3: Cross multiply
    250,461x = 377,851.50 × 377,851.50
  4. Step 4: Simplify right side
    250,461x = 142,771,756,052.25
  5. Step 5: Solve for x
    x = 142,771,756,052.25/250,461
  6. Step 6: Final answer
    x = 570,035.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.