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Finding the Third Proportional to 528,854 and 771,126

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Solution

The third proportional to 528,854 and 771,126 is: 1,124,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,854 : 771,126 = 771,126 : x
  2. Step 2: Convert to fraction form
    528,854/771,126 = 771,126/x
  3. Step 3: Cross multiply
    528,854x = 771,126 × 771,126
  4. Step 4: Simplify right side
    528,854x = 594,635,307,876
  5. Step 5: Solve for x
    x = 594,635,307,876/528,854
  6. Step 6: Final answer
    x = 1,124,384.63

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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.