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Finding the Third Proportional to 302,782 and 470,176

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Solution

The third proportional to 302,782 and 470,176 is: 730,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,782 : 470,176 = 470,176 : x
  2. Step 2: Convert to fraction form
    302,782/470,176 = 470,176/x
  3. Step 3: Cross multiply
    302,782x = 470,176 × 470,176
  4. Step 4: Simplify right side
    302,782x = 221,065,470,976
  5. Step 5: Solve for x
    x = 221,065,470,976/302,782
  6. Step 6: Final answer
    x = 730,114.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.