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Finding the Third Proportional to 434,631.66 and 664,865.72

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Solution

The third proportional to 434,631.66 and 664,865.72 is: 1,017,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,631.66 : 664,865.72 = 664,865.72 : x
  2. Step 2: Convert to fraction form
    434,631.66/664,865.72 = 664,865.72/x
  3. Step 3: Cross multiply
    434,631.66x = 664,865.72 × 664,865.72
  4. Step 4: Simplify right side
    434,631.66x = 442,046,423,968.95
  5. Step 5: Solve for x
    x = 442,046,423,968.95/434,631.66
  6. Step 6: Final answer
    x = 1,017,059.89

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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.