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Finding the Third Proportional to 468,835 and 700,163

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Solution

The third proportional to 468,835 and 700,163 is: 1,045,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,835 : 700,163 = 700,163 : x
  2. Step 2: Convert to fraction form
    468,835/700,163 = 700,163/x
  3. Step 3: Cross multiply
    468,835x = 700,163 × 700,163
  4. Step 4: Simplify right side
    468,835x = 490,228,226,569
  5. Step 5: Solve for x
    x = 490,228,226,569/468,835
  6. Step 6: Final answer
    x = 1,045,630.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.