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Finding the Third Proportional to 325,348,592.25 and 495,646,223.63

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Solution

The third proportional to 325,348,592.25 and 495,646,223.63 is: 755,082,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,348,592.25 : 495,646,223.63 = 495,646,223.63 : x
  2. Step 2: Convert to fraction form
    325,348,592.25/495,646,223.63 = 495,646,223.63/x
  3. Step 3: Cross multiply
    325,348,592.25x = 495,646,223.63 × 495,646,223.63
  4. Step 4: Simplify right side
    325,348,592.25x = 245,665,178,993,723,520
  5. Step 5: Solve for x
    x = 245,665,178,993,723,520/325,348,592.25
  6. Step 6: Final answer
    x = 755,082,962.85

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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.