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Finding the Third Proportional to 528,818 and 805,619

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Solution

The third proportional to 528,818 and 805,619 is: 1,227,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,818 : 805,619 = 805,619 : x
  2. Step 2: Convert to fraction form
    528,818/805,619 = 805,619/x
  3. Step 3: Cross multiply
    528,818x = 805,619 × 805,619
  4. Step 4: Simplify right side
    528,818x = 649,021,973,161
  5. Step 5: Solve for x
    x = 649,021,973,161/528,818
  6. Step 6: Final answer
    x = 1,227,306.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.