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Finding the Third Proportional to 426,235.50 and 932,742

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Solution

The third proportional to 426,235.50 and 932,742 is: 2,041,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,235.50 : 932,742 = 932,742 : x
  2. Step 2: Convert to fraction form
    426,235.50/932,742 = 932,742/x
  3. Step 3: Cross multiply
    426,235.50x = 932,742 × 932,742
  4. Step 4: Simplify right side
    426,235.50x = 870,007,638,564
  5. Step 5: Solve for x
    x = 870,007,638,564/426,235.50
  6. Step 6: Final answer
    x = 2,041,143.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.