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Finding the Third Proportional to 354,981 and 772,158

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Solution

The third proportional to 354,981 and 772,158 is: 1,679,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,981 : 772,158 = 772,158 : x
  2. Step 2: Convert to fraction form
    354,981/772,158 = 772,158/x
  3. Step 3: Cross multiply
    354,981x = 772,158 × 772,158
  4. Step 4: Simplify right side
    354,981x = 596,227,976,964
  5. Step 5: Solve for x
    x = 596,227,976,964/354,981
  6. Step 6: Final answer
    x = 1,679,605.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.