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Finding the Third Proportional to 688,216 and 1,036,302

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Solution

The third proportional to 688,216 and 1,036,302 is: 1,560,442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,216 : 1,036,302 = 1,036,302 : x
  2. Step 2: Convert to fraction form
    688,216/1,036,302 = 1,036,302/x
  3. Step 3: Cross multiply
    688,216x = 1,036,302 × 1,036,302
  4. Step 4: Simplify right side
    688,216x = 1,073,921,835,204
  5. Step 5: Solve for x
    x = 1,073,921,835,204/688,216
  6. Step 6: Final answer
    x = 1,560,442.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.