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Finding the Third Proportional to 245,932 and 580,322

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Solution

The third proportional to 245,932 and 580,322 is: 1,369,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,932 : 580,322 = 580,322 : x
  2. Step 2: Convert to fraction form
    245,932/580,322 = 580,322/x
  3. Step 3: Cross multiply
    245,932x = 580,322 × 580,322
  4. Step 4: Simplify right side
    245,932x = 336,773,623,684
  5. Step 5: Solve for x
    x = 336,773,623,684/245,932
  6. Step 6: Final answer
    x = 1,369,377.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.