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Finding the Third Proportional to 334,695 and 469,210.50

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Solution

The third proportional to 334,695 and 469,210.50 is: 657,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,695 : 469,210.50 = 469,210.50 : x
  2. Step 2: Convert to fraction form
    334,695/469,210.50 = 469,210.50/x
  3. Step 3: Cross multiply
    334,695x = 469,210.50 × 469,210.50
  4. Step 4: Simplify right side
    334,695x = 220,158,493,310.25
  5. Step 5: Solve for x
    x = 220,158,493,310.25/334,695
  6. Step 6: Final answer
    x = 657,788.41

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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.