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Finding the Third Proportional to 528,821 and 771,082

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Solution

The third proportional to 528,821 and 771,082 is: 1,124,326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,821 : 771,082 = 771,082 : x
  2. Step 2: Convert to fraction form
    528,821/771,082 = 771,082/x
  3. Step 3: Cross multiply
    528,821x = 771,082 × 771,082
  4. Step 4: Simplify right side
    528,821x = 594,567,450,724
  5. Step 5: Solve for x
    x = 594,567,450,724/528,821
  6. Step 6: Final answer
    x = 1,124,326.47

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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.