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Finding the Third Proportional to 262,935,603 and 410,321,038.50

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Solution

The third proportional to 262,935,603 and 410,321,038.50 is: 640,321,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,935,603 : 410,321,038.50 = 410,321,038.50 : x
  2. Step 2: Convert to fraction form
    262,935,603/410,321,038.50 = 410,321,038.50/x
  3. Step 3: Cross multiply
    262,935,603x = 410,321,038.50 × 410,321,038.50
  4. Step 4: Simplify right side
    262,935,603x = 168,363,354,635,718,496
  5. Step 5: Solve for x
    x = 168,363,354,635,718,496/262,935,603
  6. Step 6: Final answer
    x = 640,321,632.81

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.