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Finding the Third Proportional to 463,989 and 705,703.50

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Solution

The third proportional to 463,989 and 705,703.50 is: 1,073,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,989 : 705,703.50 = 705,703.50 : x
  2. Step 2: Convert to fraction form
    463,989/705,703.50 = 705,703.50/x
  3. Step 3: Cross multiply
    463,989x = 705,703.50 × 705,703.50
  4. Step 4: Simplify right side
    463,989x = 498,017,429,912.25
  5. Step 5: Solve for x
    x = 498,017,429,912.25/463,989
  6. Step 6: Final answer
    x = 1,073,338.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.