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Finding the Third Proportional to 464,403 and 948,480

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Solution

The third proportional to 464,403 and 948,480 is: 1,937,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,403 : 948,480 = 948,480 : x
  2. Step 2: Convert to fraction form
    464,403/948,480 = 948,480/x
  3. Step 3: Cross multiply
    464,403x = 948,480 × 948,480
  4. Step 4: Simplify right side
    464,403x = 899,614,310,400
  5. Step 5: Solve for x
    x = 899,614,310,400/464,403
  6. Step 6: Final answer
    x = 1,937,141.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.