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Finding the Third Proportional to 500,364 and 737,311.50

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Solution

The third proportional to 500,364 and 737,311.50 is: 1,086,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,364 : 737,311.50 = 737,311.50 : x
  2. Step 2: Convert to fraction form
    500,364/737,311.50 = 737,311.50/x
  3. Step 3: Cross multiply
    500,364x = 737,311.50 × 737,311.50
  4. Step 4: Simplify right side
    500,364x = 543,628,248,032.25
  5. Step 5: Solve for x
    x = 543,628,248,032.25/500,364
  6. Step 6: Final answer
    x = 1,086,465.55

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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.