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Finding the Third Proportional to 231,564 and 346,482

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Solution

The third proportional to 231,564 and 346,482 is: 518,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,564 : 346,482 = 346,482 : x
  2. Step 2: Convert to fraction form
    231,564/346,482 = 346,482/x
  3. Step 3: Cross multiply
    231,564x = 346,482 × 346,482
  4. Step 4: Simplify right side
    231,564x = 120,049,776,324
  5. Step 5: Solve for x
    x = 120,049,776,324/231,564
  6. Step 6: Final answer
    x = 518,430.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.