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Finding the Third Proportional to 260,047,711 and 356,588,596.50

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Solution

The third proportional to 260,047,711 and 356,588,596.50 is: 488,969,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,047,711 : 356,588,596.50 = 356,588,596.50 : x
  2. Step 2: Convert to fraction form
    260,047,711/356,588,596.50 = 356,588,596.50/x
  3. Step 3: Cross multiply
    260,047,711x = 356,588,596.50 × 356,588,596.50
  4. Step 4: Simplify right side
    260,047,711x = 127,155,427,153,839,808
  5. Step 5: Solve for x
    x = 127,155,427,153,839,808/260,047,711
  6. Step 6: Final answer
    x = 488,969,607.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.