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Finding the Third Proportional to 429,495.75 and 932,809.50

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Solution

The third proportional to 429,495.75 and 932,809.50 is: 2,025,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,495.75 : 932,809.50 = 932,809.50 : x
  2. Step 2: Convert to fraction form
    429,495.75/932,809.50 = 932,809.50/x
  3. Step 3: Cross multiply
    429,495.75x = 932,809.50 × 932,809.50
  4. Step 4: Simplify right side
    429,495.75x = 870,133,563,290.25
  5. Step 5: Solve for x
    x = 870,133,563,290.25/429,495.75
  6. Step 6: Final answer
    x = 2,025,942.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.