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Finding the Third Proportional to 334,893 and 468,433.50

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Solution

The third proportional to 334,893 and 468,433.50 is: 655,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,893 : 468,433.50 = 468,433.50 : x
  2. Step 2: Convert to fraction form
    334,893/468,433.50 = 468,433.50/x
  3. Step 3: Cross multiply
    334,893x = 468,433.50 × 468,433.50
  4. Step 4: Simplify right side
    334,893x = 219,429,943,922.25
  5. Step 5: Solve for x
    x = 219,429,943,922.25/334,893
  6. Step 6: Final answer
    x = 655,224.04

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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.