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Finding the Third Proportional to 357,286 and 772,892

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Solution

The third proportional to 357,286 and 772,892 is: 1,671,943.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,286 : 772,892 = 772,892 : x
  2. Step 2: Convert to fraction form
    357,286/772,892 = 772,892/x
  3. Step 3: Cross multiply
    357,286x = 772,892 × 772,892
  4. Step 4: Simplify right side
    357,286x = 597,362,043,664
  5. Step 5: Solve for x
    x = 597,362,043,664/357,286
  6. Step 6: Final answer
    x = 1,671,943.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.