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Finding the Third Proportional to 705,396 and 1,008,315

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Solution

The third proportional to 705,396 and 1,008,315 is: 1,441,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,396 : 1,008,315 = 1,008,315 : x
  2. Step 2: Convert to fraction form
    705,396/1,008,315 = 1,008,315/x
  3. Step 3: Cross multiply
    705,396x = 1,008,315 × 1,008,315
  4. Step 4: Simplify right side
    705,396x = 1,016,699,139,225
  5. Step 5: Solve for x
    x = 1,016,699,139,225/705,396
  6. Step 6: Final answer
    x = 1,441,316.85

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.