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Finding the Third Proportional to 294,568,320 and 441,852,480

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Solution

The third proportional to 294,568,320 and 441,852,480 is: 662,778,720

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,568,320 : 441,852,480 = 441,852,480 : x
  2. Step 2: Convert to fraction form
    294,568,320/441,852,480 = 441,852,480/x
  3. Step 3: Cross multiply
    294,568,320x = 441,852,480 × 441,852,480
  4. Step 4: Simplify right side
    294,568,320x = 195,233,614,082,150,400
  5. Step 5: Solve for x
    x = 195,233,614,082,150,400/294,568,320
  6. Step 6: Final answer
    x = 662,778,720

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.