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Finding the Third Proportional to 232,728.75 and 506,929.50

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Solution

The third proportional to 232,728.75 and 506,929.50 is: 1,104,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,728.75 : 506,929.50 = 506,929.50 : x
  2. Step 2: Convert to fraction form
    232,728.75/506,929.50 = 506,929.50/x
  3. Step 3: Cross multiply
    232,728.75x = 506,929.50 × 506,929.50
  4. Step 4: Simplify right side
    232,728.75x = 256,977,517,970.25
  5. Step 5: Solve for x
    x = 256,977,517,970.25/232,728.75
  6. Step 6: Final answer
    x = 1,104,193.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.