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Finding the Third Proportional to 700,200.50 and 1,056,729

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Solution

The third proportional to 700,200.50 and 1,056,729 is: 1,594,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,200.50 : 1,056,729 = 1,056,729 : x
  2. Step 2: Convert to fraction form
    700,200.50/1,056,729 = 1,056,729/x
  3. Step 3: Cross multiply
    700,200.50x = 1,056,729 × 1,056,729
  4. Step 4: Simplify right side
    700,200.50x = 1,116,676,179,441
  5. Step 5: Solve for x
    x = 1,116,676,179,441/700,200.50
  6. Step 6: Final answer
    x = 1,594,794.89

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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.