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Finding the Third Proportional to 466,205.63 and 719,902.69

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Solution

The third proportional to 466,205.63 and 719,902.69 is: 1,111,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,205.63 : 719,902.69 = 719,902.69 : x
  2. Step 2: Convert to fraction form
    466,205.63/719,902.69 = 719,902.69/x
  3. Step 3: Cross multiply
    466,205.63x = 719,902.69 × 719,902.69
  4. Step 4: Simplify right side
    466,205.63x = 518,259,879,469.72
  5. Step 5: Solve for x
    x = 518,259,879,469.72/466,205.63
  6. Step 6: Final answer
    x = 1,111,655.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.