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Finding the Third Proportional to 528,624 and 851,166

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Solution

The third proportional to 528,624 and 851,166 is: 1,370,508.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,624 : 851,166 = 851,166 : x
  2. Step 2: Convert to fraction form
    528,624/851,166 = 851,166/x
  3. Step 3: Cross multiply
    528,624x = 851,166 × 851,166
  4. Step 4: Simplify right side
    528,624x = 724,483,559,556
  5. Step 5: Solve for x
    x = 724,483,559,556/528,624
  6. Step 6: Final answer
    x = 1,370,508.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.