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Finding the Third Proportional to 698,071.50 and 1,078,735.50

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Solution

The third proportional to 698,071.50 and 1,078,735.50 is: 1,666,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,071.50 : 1,078,735.50 = 1,078,735.50 : x
  2. Step 2: Convert to fraction form
    698,071.50/1,078,735.50 = 1,078,735.50/x
  3. Step 3: Cross multiply
    698,071.50x = 1,078,735.50 × 1,078,735.50
  4. Step 4: Simplify right side
    698,071.50x = 1,163,670,278,960.25
  5. Step 5: Solve for x
    x = 1,163,670,278,960.25/698,071.50
  6. Step 6: Final answer
    x = 1,666,978.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.