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Finding the Third Proportional to 229,816 and 496,528

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Solution

The third proportional to 229,816 and 496,528 is: 1,072,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,816 : 496,528 = 496,528 : x
  2. Step 2: Convert to fraction form
    229,816/496,528 = 496,528/x
  3. Step 3: Cross multiply
    229,816x = 496,528 × 496,528
  4. Step 4: Simplify right side
    229,816x = 246,540,054,784
  5. Step 5: Solve for x
    x = 246,540,054,784/229,816
  6. Step 6: Final answer
    x = 1,072,771.50

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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.