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Finding the Third Proportional to 325,348,587.50 and 495,646,216.50

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Solution

The third proportional to 325,348,587.50 and 495,646,216.50 is: 755,082,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,348,587.50 : 495,646,216.50 = 495,646,216.50 : x
  2. Step 2: Convert to fraction form
    325,348,587.50/495,646,216.50 = 495,646,216.50/x
  3. Step 3: Cross multiply
    325,348,587.50x = 495,646,216.50 × 495,646,216.50
  4. Step 4: Simplify right side
    325,348,587.50x = 245,665,171,930,764,864
  5. Step 5: Solve for x
    x = 245,665,171,930,764,864/325,348,587.50
  6. Step 6: Final answer
    x = 755,082,952.16

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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.