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Finding the Third Proportional to 451,348 and 701,130.50

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Solution

The third proportional to 451,348 and 701,130.50 is: 1,089,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,348 : 701,130.50 = 701,130.50 : x
  2. Step 2: Convert to fraction form
    451,348/701,130.50 = 701,130.50/x
  3. Step 3: Cross multiply
    451,348x = 701,130.50 × 701,130.50
  4. Step 4: Simplify right side
    451,348x = 491,583,978,030.25
  5. Step 5: Solve for x
    x = 491,583,978,030.25/451,348
  6. Step 6: Final answer
    x = 1,089,146.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.