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Finding the Third Proportional to 470,586.50 and 727,125

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Solution

The third proportional to 470,586.50 and 727,125 is: 1,123,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,586.50 : 727,125 = 727,125 : x
  2. Step 2: Convert to fraction form
    470,586.50/727,125 = 727,125/x
  3. Step 3: Cross multiply
    470,586.50x = 727,125 × 727,125
  4. Step 4: Simplify right side
    470,586.50x = 528,710,765,625
  5. Step 5: Solve for x
    x = 528,710,765,625/470,586.50
  6. Step 6: Final answer
    x = 1,123,514.52

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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.