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Finding the Third Proportional to 338,733.56 and 525,117.94

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Solution

The third proportional to 338,733.56 and 525,117.94 is: 814,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,733.56 : 525,117.94 = 525,117.94 : x
  2. Step 2: Convert to fraction form
    338,733.56/525,117.94 = 525,117.94/x
  3. Step 3: Cross multiply
    338,733.56x = 525,117.94 × 525,117.94
  4. Step 4: Simplify right side
    338,733.56x = 275,748,848,284.25
  5. Step 5: Solve for x
    x = 275,748,848,284.25/338,733.56
  6. Step 6: Final answer
    x = 814,058.24

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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.