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Finding the Third Proportional to 677,440.13 and 997,447.50

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Solution

The third proportional to 677,440.13 and 997,447.50 is: 1,468,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,440.13 : 997,447.50 = 997,447.50 : x
  2. Step 2: Convert to fraction form
    677,440.13/997,447.50 = 997,447.50/x
  3. Step 3: Cross multiply
    677,440.13x = 997,447.50 × 997,447.50
  4. Step 4: Simplify right side
    677,440.13x = 994,901,515,256.25
  5. Step 5: Solve for x
    x = 994,901,515,256.25/677,440.13
  6. Step 6: Final answer
    x = 1,468,619.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.