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Finding the Third Proportional to 358,624 and 527,552

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Solution

The third proportional to 358,624 and 527,552 is: 776,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,624 : 527,552 = 527,552 : x
  2. Step 2: Convert to fraction form
    358,624/527,552 = 527,552/x
  3. Step 3: Cross multiply
    358,624x = 527,552 × 527,552
  4. Step 4: Simplify right side
    358,624x = 278,311,112,704
  5. Step 5: Solve for x
    x = 278,311,112,704/358,624
  6. Step 6: Final answer
    x = 776,052.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.