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Finding the Third Proportional to 326,132 and 710,158

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Solution

The third proportional to 326,132 and 710,158 is: 1,546,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,132 : 710,158 = 710,158 : x
  2. Step 2: Convert to fraction form
    326,132/710,158 = 710,158/x
  3. Step 3: Cross multiply
    326,132x = 710,158 × 710,158
  4. Step 4: Simplify right side
    326,132x = 504,324,384,964
  5. Step 5: Solve for x
    x = 504,324,384,964/326,132
  6. Step 6: Final answer
    x = 1,546,381.17

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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.