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Finding the Third Proportional to 342,582 and 526,977

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Solution

The third proportional to 342,582 and 526,977 is: 810,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,582 : 526,977 = 526,977 : x
  2. Step 2: Convert to fraction form
    342,582/526,977 = 526,977/x
  3. Step 3: Cross multiply
    342,582x = 526,977 × 526,977
  4. Step 4: Simplify right side
    342,582x = 277,704,758,529
  5. Step 5: Solve for x
    x = 277,704,758,529/342,582
  6. Step 6: Final answer
    x = 810,622.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.