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Finding the Third Proportional to 493,312 and 737,986

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Solution

The third proportional to 493,312 and 737,986 is: 1,104,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,312 : 737,986 = 737,986 : x
  2. Step 2: Convert to fraction form
    493,312/737,986 = 737,986/x
  3. Step 3: Cross multiply
    493,312x = 737,986 × 737,986
  4. Step 4: Simplify right side
    493,312x = 544,623,336,196
  5. Step 5: Solve for x
    x = 544,623,336,196/493,312
  6. Step 6: Final answer
    x = 1,104,013.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.