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Finding the Third Proportional to 692,097.75 and 1,047,370.50

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Solution

The third proportional to 692,097.75 and 1,047,370.50 is: 1,585,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,097.75 : 1,047,370.50 = 1,047,370.50 : x
  2. Step 2: Convert to fraction form
    692,097.75/1,047,370.50 = 1,047,370.50/x
  3. Step 3: Cross multiply
    692,097.75x = 1,047,370.50 × 1,047,370.50
  4. Step 4: Simplify right side
    692,097.75x = 1,096,984,964,270.25
  5. Step 5: Solve for x
    x = 1,096,984,964,270.25/692,097.75
  6. Step 6: Final answer
    x = 1,585,014.49

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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.