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Finding the Third Proportional to 464,910.89 and 718,093.16

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Solution

The third proportional to 464,910.89 and 718,093.16 is: 1,109,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,910.89 : 718,093.16 = 718,093.16 : x
  2. Step 2: Convert to fraction form
    464,910.89/718,093.16 = 718,093.16/x
  3. Step 3: Cross multiply
    464,910.89x = 718,093.16 × 718,093.16
  4. Step 4: Simplify right side
    464,910.89x = 515,657,786,663.19
  5. Step 5: Solve for x
    x = 515,657,786,663.19/464,910.89
  6. Step 6: Final answer
    x = 1,109,154.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.