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Finding the Third Proportional to 229,432.50 and 496,663.88

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Solution

The third proportional to 229,432.50 and 496,663.88 is: 1,075,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,432.50 : 496,663.88 = 496,663.88 : x
  2. Step 2: Convert to fraction form
    229,432.50/496,663.88 = 496,663.88/x
  3. Step 3: Cross multiply
    229,432.50x = 496,663.88 × 496,663.88
  4. Step 4: Simplify right side
    229,432.50x = 246,675,004,730.02
  5. Step 5: Solve for x
    x = 246,675,004,730.02/229,432.50
  6. Step 6: Final answer
    x = 1,075,152.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.