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Finding the Third Proportional to 351,324 and 526,023

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Solution

The third proportional to 351,324 and 526,023 is: 787,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,324 : 526,023 = 526,023 : x
  2. Step 2: Convert to fraction form
    351,324/526,023 = 526,023/x
  3. Step 3: Cross multiply
    351,324x = 526,023 × 526,023
  4. Step 4: Simplify right side
    351,324x = 276,700,196,529
  5. Step 5: Solve for x
    x = 276,700,196,529/351,324
  6. Step 6: Final answer
    x = 787,592.64

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Why These Related Problems?

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