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Finding the Third Proportional to 434,848.50 and 665,242.88

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Solution

The third proportional to 434,848.50 and 665,242.88 is: 1,017,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,848.50 : 665,242.88 = 665,242.88 : x
  2. Step 2: Convert to fraction form
    434,848.50/665,242.88 = 665,242.88/x
  3. Step 3: Cross multiply
    434,848.50x = 665,242.88 × 665,242.88
  4. Step 4: Simplify right side
    434,848.50x = 442,548,082,738.27
  5. Step 5: Solve for x
    x = 442,548,082,738.27/434,848.50
  6. Step 6: Final answer
    x = 1,017,706.36

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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.