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Finding the Third Proportional to 710,236.50 and 1,066,176

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Solution

The third proportional to 710,236.50 and 1,066,176 is: 1,600,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,236.50 : 1,066,176 = 1,066,176 : x
  2. Step 2: Convert to fraction form
    710,236.50/1,066,176 = 1,066,176/x
  3. Step 3: Cross multiply
    710,236.50x = 1,066,176 × 1,066,176
  4. Step 4: Simplify right side
    710,236.50x = 1,136,731,262,976
  5. Step 5: Solve for x
    x = 1,136,731,262,976/710,236.50
  6. Step 6: Final answer
    x = 1,600,496.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.