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Finding the Third Proportional to 528,630 and 851,175

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Solution

The third proportional to 528,630 and 851,175 is: 1,370,521.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,630 : 851,175 = 851,175 : x
  2. Step 2: Convert to fraction form
    528,630/851,175 = 851,175/x
  3. Step 3: Cross multiply
    528,630x = 851,175 × 851,175
  4. Step 4: Simplify right side
    528,630x = 724,498,880,625
  5. Step 5: Solve for x
    x = 724,498,880,625/528,630
  6. Step 6: Final answer
    x = 1,370,521.69

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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.