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Finding the Third Proportional to 262,935,591 and 410,321,017.50

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Solution

The third proportional to 262,935,591 and 410,321,017.50 is: 640,321,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,935,591 : 410,321,017.50 = 410,321,017.50 : x
  2. Step 2: Convert to fraction form
    262,935,591/410,321,017.50 = 410,321,017.50/x
  3. Step 3: Cross multiply
    262,935,591x = 410,321,017.50 × 410,321,017.50
  4. Step 4: Simplify right side
    262,935,591x = 168,363,337,402,235,296
  5. Step 5: Solve for x
    x = 168,363,337,402,235,296/262,935,591
  6. Step 6: Final answer
    x = 640,321,596.49

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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.