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Finding the Third Proportional to 357,221.63 and 770,530.13

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Solution

The third proportional to 357,221.63 and 770,530.13 is: 1,662,040.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,221.63 : 770,530.13 = 770,530.13 : x
  2. Step 2: Convert to fraction form
    357,221.63/770,530.13 = 770,530.13/x
  3. Step 3: Cross multiply
    357,221.63x = 770,530.13 × 770,530.13
  4. Step 4: Simplify right side
    357,221.63x = 593,716,673,532.52
  5. Step 5: Solve for x
    x = 593,716,673,532.52/357,221.63
  6. Step 6: Final answer
    x = 1,662,040.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.