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Finding the Third Proportional to 522,574.88 and 763,698.38

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Solution

The third proportional to 522,574.88 and 763,698.38 is: 1,116,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,574.88 : 763,698.38 = 763,698.38 : x
  2. Step 2: Convert to fraction form
    522,574.88/763,698.38 = 763,698.38/x
  3. Step 3: Cross multiply
    522,574.88x = 763,698.38 × 763,698.38
  4. Step 4: Simplify right side
    522,574.88x = 583,235,207,977.64
  5. Step 5: Solve for x
    x = 583,235,207,977.64/522,574.88
  6. Step 6: Final answer
    x = 1,116,079.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.