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Finding the Third Proportional to 334,674 and 509,852.25

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Solution

The third proportional to 334,674 and 509,852.25 is: 776,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,674 : 509,852.25 = 509,852.25 : x
  2. Step 2: Convert to fraction form
    334,674/509,852.25 = 509,852.25/x
  3. Step 3: Cross multiply
    334,674x = 509,852.25 × 509,852.25
  4. Step 4: Simplify right side
    334,674x = 259,949,316,830.06
  5. Step 5: Solve for x
    x = 259,949,316,830.06/334,674
  6. Step 6: Final answer
    x = 776,723.97

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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.