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Finding the Third Proportional to 228,916.13 and 478,742.63

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Solution

The third proportional to 228,916.13 and 478,742.63 is: 1,001,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,916.13 : 478,742.63 = 478,742.63 : x
  2. Step 2: Convert to fraction form
    228,916.13/478,742.63 = 478,742.63/x
  3. Step 3: Cross multiply
    228,916.13x = 478,742.63 × 478,742.63
  4. Step 4: Simplify right side
    228,916.13x = 229,194,500,991.89
  5. Step 5: Solve for x
    x = 229,194,500,991.89/228,916.13
  6. Step 6: Final answer
    x = 1,001,216.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.