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Finding the Third Proportional to 264,424.50 and 542,929.50

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Solution

The third proportional to 264,424.50 and 542,929.50 is: 1,114,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,424.50 : 542,929.50 = 542,929.50 : x
  2. Step 2: Convert to fraction form
    264,424.50/542,929.50 = 542,929.50/x
  3. Step 3: Cross multiply
    264,424.50x = 542,929.50 × 542,929.50
  4. Step 4: Simplify right side
    264,424.50x = 294,772,441,970.25
  5. Step 5: Solve for x
    x = 294,772,441,970.25/264,424.50
  6. Step 6: Final answer
    x = 1,114,769.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.