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Finding the Third Proportional to 528,866 and 771,142

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Solution

The third proportional to 528,866 and 771,142 is: 1,124,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,866 : 771,142 = 771,142 : x
  2. Step 2: Convert to fraction form
    528,866/771,142 = 771,142/x
  3. Step 3: Cross multiply
    528,866x = 771,142 × 771,142
  4. Step 4: Simplify right side
    528,866x = 594,659,984,164
  5. Step 5: Solve for x
    x = 594,659,984,164/528,866
  6. Step 6: Final answer
    x = 1,124,405.77

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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.