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Finding the Third Proportional to 334,714.50 and 509,923.50

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Solution

The third proportional to 334,714.50 and 509,923.50 is: 776,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,714.50 : 509,923.50 = 509,923.50 : x
  2. Step 2: Convert to fraction form
    334,714.50/509,923.50 = 509,923.50/x
  3. Step 3: Cross multiply
    334,714.50x = 509,923.50 × 509,923.50
  4. Step 4: Simplify right side
    334,714.50x = 260,021,975,852.25
  5. Step 5: Solve for x
    x = 260,021,975,852.25/334,714.50
  6. Step 6: Final answer
    x = 776,847.06

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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.