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Finding the Third Proportional to 334,773.84 and 509,166.84

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Solution

The third proportional to 334,773.84 and 509,166.84 is: 774,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,773.84 : 509,166.84 = 509,166.84 : x
  2. Step 2: Convert to fraction form
    334,773.84/509,166.84 = 509,166.84/x
  3. Step 3: Cross multiply
    334,773.84x = 509,166.84 × 509,166.84
  4. Step 4: Simplify right side
    334,773.84x = 259,250,874,774.34
  5. Step 5: Solve for x
    x = 259,250,874,774.34/334,773.84
  6. Step 6: Final answer
    x = 774,406.00

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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.