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Finding the Third Proportional to 864,272.25 and 1,308,333.38

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Solution

The third proportional to 864,272.25 and 1,308,333.38 is: 1,980,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,272.25 : 1,308,333.38 = 1,308,333.38 : x
  2. Step 2: Convert to fraction form
    864,272.25/1,308,333.38 = 1,308,333.38/x
  3. Step 3: Cross multiply
    864,272.25x = 1,308,333.38 × 1,308,333.38
  4. Step 4: Simplify right side
    864,272.25x = 1,711,736,220,138.89
  5. Step 5: Solve for x
    x = 1,711,736,220,138.89/864,272.25
  6. Step 6: Final answer
    x = 1,980,552.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.