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Finding the Third Proportional to 347,197,964.50 and 528,936,601.75

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Solution

The third proportional to 347,197,964.50 and 528,936,601.75 is: 805,805,209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,197,964.50 : 528,936,601.75 = 528,936,601.75 : x
  2. Step 2: Convert to fraction form
    347,197,964.50/528,936,601.75 = 528,936,601.75/x
  3. Step 3: Cross multiply
    347,197,964.50x = 528,936,601.75 × 528,936,601.75
  4. Step 4: Simplify right side
    347,197,964.50x = 279,773,928,670,838,112
  5. Step 5: Solve for x
    x = 279,773,928,670,838,112/347,197,964.50
  6. Step 6: Final answer
    x = 805,805,209.93

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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.