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Finding the Third Proportional to 550,988.44 and 851,417.44

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Solution

The third proportional to 550,988.44 and 851,417.44 is: 1,315,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,988.44 : 851,417.44 = 851,417.44 : x
  2. Step 2: Convert to fraction form
    550,988.44/851,417.44 = 851,417.44/x
  3. Step 3: Cross multiply
    550,988.44x = 851,417.44 × 851,417.44
  4. Step 4: Simplify right side
    550,988.44x = 724,911,652,879.07
  5. Step 5: Solve for x
    x = 724,911,652,879.07/550,988.44
  6. Step 6: Final answer
    x = 1,315,656.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.