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Finding the Third Proportional to 370,218,568.50 and 541,699,823.25

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Solution

The third proportional to 370,218,568.50 and 541,699,823.25 is: 792,609,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,218,568.50 : 541,699,823.25 = 541,699,823.25 : x
  2. Step 2: Convert to fraction form
    370,218,568.50/541,699,823.25 = 541,699,823.25/x
  3. Step 3: Cross multiply
    370,218,568.50x = 541,699,823.25 × 541,699,823.25
  4. Step 4: Simplify right side
    370,218,568.50x = 293,438,698,509,081,216
  5. Step 5: Solve for x
    x = 293,438,698,509,081,216/370,218,568.50
  6. Step 6: Final answer
    x = 792,609,348.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.