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Finding the Third Proportional to 461,520 and 700,944

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Solution

The third proportional to 461,520 and 700,944 is: 1,064,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,520 : 700,944 = 700,944 : x
  2. Step 2: Convert to fraction form
    461,520/700,944 = 700,944/x
  3. Step 3: Cross multiply
    461,520x = 700,944 × 700,944
  4. Step 4: Simplify right side
    461,520x = 491,322,491,136
  5. Step 5: Solve for x
    x = 491,322,491,136/461,520
  6. Step 6: Final answer
    x = 1,064,574.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.