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Finding the Third Proportional to 459,715.25 and 713,630

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Solution

The third proportional to 459,715.25 and 713,630 is: 1,107,789.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,715.25 : 713,630 = 713,630 : x
  2. Step 2: Convert to fraction form
    459,715.25/713,630 = 713,630/x
  3. Step 3: Cross multiply
    459,715.25x = 713,630 × 713,630
  4. Step 4: Simplify right side
    459,715.25x = 509,267,776,900
  5. Step 5: Solve for x
    x = 509,267,776,900/459,715.25
  6. Step 6: Final answer
    x = 1,107,789.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.