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Finding the Third Proportional to 325,348,593 and 495,646,224

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Solution

The third proportional to 325,348,593 and 495,646,224 is: 755,082,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,348,593 : 495,646,224 = 495,646,224 : x
  2. Step 2: Convert to fraction form
    325,348,593/495,646,224 = 495,646,224/x
  3. Step 3: Cross multiply
    325,348,593x = 495,646,224 × 495,646,224
  4. Step 4: Simplify right side
    325,348,593x = 245,665,179,365,458,176
  5. Step 5: Solve for x
    x = 245,665,179,365,458,176/325,348,593
  6. Step 6: Final answer
    x = 755,082,962.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.