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Finding the Third Proportional to 357,420.41 and 786,806.79

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Solution

The third proportional to 357,420.41 and 786,806.79 is: 1,732,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,420.41 : 786,806.79 = 786,806.79 : x
  2. Step 2: Convert to fraction form
    357,420.41/786,806.79 = 786,806.79/x
  3. Step 3: Cross multiply
    357,420.41x = 786,806.79 × 786,806.79
  4. Step 4: Simplify right side
    357,420.41x = 619,064,923,314.84
  5. Step 5: Solve for x
    x = 619,064,923,314.84/357,420.41
  6. Step 6: Final answer
    x = 1,732,035.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.