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Finding the Third Proportional to 398,116,570.50 and 597,174,907.50

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Solution

The third proportional to 398,116,570.50 and 597,174,907.50 is: 895,762,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,116,570.50 : 597,174,907.50 = 597,174,907.50 : x
  2. Step 2: Convert to fraction form
    398,116,570.50/597,174,907.50 = 597,174,907.50/x
  3. Step 3: Cross multiply
    398,116,570.50x = 597,174,907.50 × 597,174,907.50
  4. Step 4: Simplify right side
    398,116,570.50x = 356,617,870,147,633,536
  5. Step 5: Solve for x
    x = 356,617,870,147,633,536/398,116,570.50
  6. Step 6: Final answer
    x = 895,762,438.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.