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Finding the Third Proportional to 529,058.25 and 1,157,503.50

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Solution

The third proportional to 529,058.25 and 1,157,503.50 is: 2,532,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,058.25 : 1,157,503.50 = 1,157,503.50 : x
  2. Step 2: Convert to fraction form
    529,058.25/1,157,503.50 = 1,157,503.50/x
  3. Step 3: Cross multiply
    529,058.25x = 1,157,503.50 × 1,157,503.50
  4. Step 4: Simplify right side
    529,058.25x = 1,339,814,352,512.25
  5. Step 5: Solve for x
    x = 1,339,814,352,512.25/529,058.25
  6. Step 6: Final answer
    x = 2,532,451.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.