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Finding the Third Proportional to 527,909,933.25 and 775,703,673

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Solution

The third proportional to 527,909,933.25 and 775,703,673 is: 1,139,808,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,909,933.25 : 775,703,673 = 775,703,673 : x
  2. Step 2: Convert to fraction form
    527,909,933.25/775,703,673 = 775,703,673/x
  3. Step 3: Cross multiply
    527,909,933.25x = 775,703,673 × 775,703,673
  4. Step 4: Simplify right side
    527,909,933.25x = 601,716,188,305,690,880
  5. Step 5: Solve for x
    x = 601,716,188,305,690,880/527,909,933.25
  6. Step 6: Final answer
    x = 1,139,808,422.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.