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Finding the Third Proportional to 471,183 and 750,472.50

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Solution

The third proportional to 471,183 and 750,472.50 is: 1,195,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,183 : 750,472.50 = 750,472.50 : x
  2. Step 2: Convert to fraction form
    471,183/750,472.50 = 750,472.50/x
  3. Step 3: Cross multiply
    471,183x = 750,472.50 × 750,472.50
  4. Step 4: Simplify right side
    471,183x = 563,208,973,256.25
  5. Step 5: Solve for x
    x = 563,208,973,256.25/471,183
  6. Step 6: Final answer
    x = 1,195,308.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.