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Finding the Third Proportional to 434,857 and 665,254.50

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Solution

The third proportional to 434,857 and 665,254.50 is: 1,017,722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,857 : 665,254.50 = 665,254.50 : x
  2. Step 2: Convert to fraction form
    434,857/665,254.50 = 665,254.50/x
  3. Step 3: Cross multiply
    434,857x = 665,254.50 × 665,254.50
  4. Step 4: Simplify right side
    434,857x = 442,563,549,770.25
  5. Step 5: Solve for x
    x = 442,563,549,770.25/434,857
  6. Step 6: Final answer
    x = 1,017,722.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.