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Finding the Third Proportional to 470,169 and 708,675

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Solution

The third proportional to 470,169 and 708,675 is: 1,068,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,169 : 708,675 = 708,675 : x
  2. Step 2: Convert to fraction form
    470,169/708,675 = 708,675/x
  3. Step 3: Cross multiply
    470,169x = 708,675 × 708,675
  4. Step 4: Simplify right side
    470,169x = 502,220,255,625
  5. Step 5: Solve for x
    x = 502,220,255,625/470,169
  6. Step 6: Final answer
    x = 1,068,169.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.