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Finding the Third Proportional to 518,414 and 846,524

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Solution

The third proportional to 518,414 and 846,524 is: 1,382,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,414 : 846,524 = 846,524 : x
  2. Step 2: Convert to fraction form
    518,414/846,524 = 846,524/x
  3. Step 3: Cross multiply
    518,414x = 846,524 × 846,524
  4. Step 4: Simplify right side
    518,414x = 716,602,882,576
  5. Step 5: Solve for x
    x = 716,602,882,576/518,414
  6. Step 6: Final answer
    x = 1,382,298.48

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.