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Finding the Third Proportional to 677,518 and 997,577

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Solution

The third proportional to 677,518 and 997,577 is: 1,468,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,518 : 997,577 = 997,577 : x
  2. Step 2: Convert to fraction form
    677,518/997,577 = 997,577/x
  3. Step 3: Cross multiply
    677,518x = 997,577 × 997,577
  4. Step 4: Simplify right side
    677,518x = 995,159,870,929
  5. Step 5: Solve for x
    x = 995,159,870,929/677,518
  6. Step 6: Final answer
    x = 1,468,831.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.