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Finding the Third Proportional to 357,219.75 and 770,527.13

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Solution

The third proportional to 357,219.75 and 770,527.13 is: 1,662,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,219.75 : 770,527.13 = 770,527.13 : x
  2. Step 2: Convert to fraction form
    357,219.75/770,527.13 = 770,527.13/x
  3. Step 3: Cross multiply
    357,219.75x = 770,527.13 × 770,527.13
  4. Step 4: Simplify right side
    357,219.75x = 593,712,050,360.77
  5. Step 5: Solve for x
    x = 593,712,050,360.77/357,219.75
  6. Step 6: Final answer
    x = 1,662,035.90

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Why These Related Problems?

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