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Finding the Third Proportional to 476,361 and 740,785.50

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Solution

The third proportional to 476,361 and 740,785.50 is: 1,151,990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,361 : 740,785.50 = 740,785.50 : x
  2. Step 2: Convert to fraction form
    476,361/740,785.50 = 740,785.50/x
  3. Step 3: Cross multiply
    476,361x = 740,785.50 × 740,785.50
  4. Step 4: Simplify right side
    476,361x = 548,763,157,010.25
  5. Step 5: Solve for x
    x = 548,763,157,010.25/476,361
  6. Step 6: Final answer
    x = 1,151,990.10

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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.