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Finding the Third Proportional to 334,724.91 and 509,927.91

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Solution

The third proportional to 334,724.91 and 509,927.91 is: 776,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,724.91 : 509,927.91 = 509,927.91 : x
  2. Step 2: Convert to fraction form
    334,724.91/509,927.91 = 509,927.91/x
  3. Step 3: Cross multiply
    334,724.91x = 509,927.91 × 509,927.91
  4. Step 4: Simplify right side
    334,724.91x = 260,026,469,572.51
  5. Step 5: Solve for x
    x = 260,026,469,572.51/334,724.91
  6. Step 6: Final answer
    x = 776,836.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.