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Finding the Third Proportional to 434,655 and 664,895.25

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Solution

The third proportional to 434,655 and 664,895.25 is: 1,017,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,655 : 664,895.25 = 664,895.25 : x
  2. Step 2: Convert to fraction form
    434,655/664,895.25 = 664,895.25/x
  3. Step 3: Cross multiply
    434,655x = 664,895.25 × 664,895.25
  4. Step 4: Simplify right side
    434,655x = 442,085,693,472.56
  5. Step 5: Solve for x
    x = 442,085,693,472.56/434,655
  6. Step 6: Final answer
    x = 1,017,095.61

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