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Finding the Third Proportional to 245,184 and 527,898

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Solution

The third proportional to 245,184 and 527,898 is: 1,136,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,184 : 527,898 = 527,898 : x
  2. Step 2: Convert to fraction form
    245,184/527,898 = 527,898/x
  3. Step 3: Cross multiply
    245,184x = 527,898 × 527,898
  4. Step 4: Simplify right side
    245,184x = 278,676,298,404
  5. Step 5: Solve for x
    x = 278,676,298,404/245,184
  6. Step 6: Final answer
    x = 1,136,600.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.