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Finding the Third Proportional to 358,569 and 524,939

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Solution

The third proportional to 358,569 and 524,939 is: 768,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,569 : 524,939 = 524,939 : x
  2. Step 2: Convert to fraction form
    358,569/524,939 = 524,939/x
  3. Step 3: Cross multiply
    358,569x = 524,939 × 524,939
  4. Step 4: Simplify right side
    358,569x = 275,560,953,721
  5. Step 5: Solve for x
    x = 275,560,953,721/358,569
  6. Step 6: Final answer
    x = 768,501.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.