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Finding the Third Proportional to 303,153 and 470,722.50

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Solution

The third proportional to 303,153 and 470,722.50 is: 730,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,153 : 470,722.50 = 470,722.50 : x
  2. Step 2: Convert to fraction form
    303,153/470,722.50 = 470,722.50/x
  3. Step 3: Cross multiply
    303,153x = 470,722.50 × 470,722.50
  4. Step 4: Simplify right side
    303,153x = 221,579,672,006.25
  5. Step 5: Solve for x
    x = 221,579,672,006.25/303,153
  6. Step 6: Final answer
    x = 730,916.97

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