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Finding the Third Proportional to 405,708,453 and 642,942,886.50

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Solution

The third proportional to 405,708,453 and 642,942,886.50 is: 1,018,898,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,708,453 : 642,942,886.50 = 642,942,886.50 : x
  2. Step 2: Convert to fraction form
    405,708,453/642,942,886.50 = 642,942,886.50/x
  3. Step 3: Cross multiply
    405,708,453x = 642,942,886.50 × 642,942,886.50
  4. Step 4: Simplify right side
    405,708,453x = 413,375,555,300,951,872
  5. Step 5: Solve for x
    x = 413,375,555,300,951,872/405,708,453
  6. Step 6: Final answer
    x = 1,018,898,059.05

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.