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Finding the Third Proportional to 411,049,975.50 and 593,896,232.25

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Solution

The third proportional to 411,049,975.50 and 593,896,232.25 is: 858,077,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,049,975.50 : 593,896,232.25 = 593,896,232.25 : x
  2. Step 2: Convert to fraction form
    411,049,975.50/593,896,232.25 = 593,896,232.25/x
  3. Step 3: Cross multiply
    411,049,975.50x = 593,896,232.25 × 593,896,232.25
  4. Step 4: Simplify right side
    411,049,975.50x = 352,712,734,680,745,920
  5. Step 5: Solve for x
    x = 352,712,734,680,745,920/411,049,975.50
  6. Step 6: Final answer
    x = 858,077,498.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.