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Finding the Third Proportional to 700.95 and 1,053.42

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Solution

The third proportional to 700.95 and 1,053.42 is: 1,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.95 : 1,053.42 = 1,053.42 : x
  2. Step 2: Convert to fraction form
    700.95/1,053.42 = 1,053.42/x
  3. Step 3: Cross multiply
    700.95x = 1,053.42 × 1,053.42
  4. Step 4: Simplify right side
    700.95x = 1,109,697.65
  5. Step 5: Solve for x
    x = 1,109,697.65/700.95
  6. Step 6: Final answer
    x = 1,583.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.