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Finding the Third Proportional to 475,783.88 and 728,746.88

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Solution

The third proportional to 475,783.88 and 728,746.88 is: 1,116,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,783.88 : 728,746.88 = 728,746.88 : x
  2. Step 2: Convert to fraction form
    475,783.88/728,746.88 = 728,746.88/x
  3. Step 3: Cross multiply
    475,783.88x = 728,746.88 × 728,746.88
  4. Step 4: Simplify right side
    475,783.88x = 531,072,007,822.27
  5. Step 5: Solve for x
    x = 531,072,007,822.27/475,783.88
  6. Step 6: Final answer
    x = 1,116,204.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.