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Finding the Third Proportional to 524,934 and 776,331

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Solution

The third proportional to 524,934 and 776,331 is: 1,148,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,934 : 776,331 = 776,331 : x
  2. Step 2: Convert to fraction form
    524,934/776,331 = 776,331/x
  3. Step 3: Cross multiply
    524,934x = 776,331 × 776,331
  4. Step 4: Simplify right side
    524,934x = 602,689,821,561
  5. Step 5: Solve for x
    x = 602,689,821,561/524,934
  6. Step 6: Final answer
    x = 1,148,124.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.