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Finding the Third Proportional to 475,740 and 736,144

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Solution

The third proportional to 475,740 and 736,144 is: 1,139,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,740 : 736,144 = 736,144 : x
  2. Step 2: Convert to fraction form
    475,740/736,144 = 736,144/x
  3. Step 3: Cross multiply
    475,740x = 736,144 × 736,144
  4. Step 4: Simplify right side
    475,740x = 541,907,988,736
  5. Step 5: Solve for x
    x = 541,907,988,736/475,740
  6. Step 6: Final answer
    x = 1,139,084.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.