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Finding the Third Proportional to 334,704 and 468,148.50

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Solution

The third proportional to 334,704 and 468,148.50 is: 654,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,704 : 468,148.50 = 468,148.50 : x
  2. Step 2: Convert to fraction form
    334,704/468,148.50 = 468,148.50/x
  3. Step 3: Cross multiply
    334,704x = 468,148.50 × 468,148.50
  4. Step 4: Simplify right side
    334,704x = 219,163,018,052.25
  5. Step 5: Solve for x
    x = 219,163,018,052.25/334,704
  6. Step 6: Final answer
    x = 654,796.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.