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Finding the Third Proportional to 475,886 and 700,671

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Solution

The third proportional to 475,886 and 700,671 is: 1,031,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,886 : 700,671 = 700,671 : x
  2. Step 2: Convert to fraction form
    475,886/700,671 = 700,671/x
  3. Step 3: Cross multiply
    475,886x = 700,671 × 700,671
  4. Step 4: Simplify right side
    475,886x = 490,939,850,241
  5. Step 5: Solve for x
    x = 490,939,850,241/475,886
  6. Step 6: Final answer
    x = 1,031,633.31

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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.