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Finding the Third Proportional to 434,511.84 and 664,693.59

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Solution

The third proportional to 434,511.84 and 664,693.59 is: 1,016,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,511.84 : 664,693.59 = 664,693.59 : x
  2. Step 2: Convert to fraction form
    434,511.84/664,693.59 = 664,693.59/x
  3. Step 3: Cross multiply
    434,511.84x = 664,693.59 × 664,693.59
  4. Step 4: Simplify right side
    434,511.84x = 441,817,573,572.29
  5. Step 5: Solve for x
    x = 441,817,573,572.29/434,511.84
  6. Step 6: Final answer
    x = 1,016,813.65

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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.