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Finding the Third Proportional to 325,348,585.50 and 495,646,213.50

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Solution

The third proportional to 325,348,585.50 and 495,646,213.50 is: 755,082,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,348,585.50 : 495,646,213.50 = 495,646,213.50 : x
  2. Step 2: Convert to fraction form
    325,348,585.50/495,646,213.50 = 495,646,213.50/x
  3. Step 3: Cross multiply
    325,348,585.50x = 495,646,213.50 × 495,646,213.50
  4. Step 4: Simplify right side
    325,348,585.50x = 245,665,168,956,887,584
  5. Step 5: Solve for x
    x = 245,665,168,956,887,584/325,348,585.50
  6. Step 6: Final answer
    x = 755,082,947.66

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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.