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Finding the Third Proportional to 693.70 and 1,030.01

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Solution

The third proportional to 693.70 and 1,030.01 is: 1,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.70 : 1,030.01 = 1,030.01 : x
  2. Step 2: Convert to fraction form
    693.70/1,030.01 = 1,030.01/x
  3. Step 3: Cross multiply
    693.70x = 1,030.01 × 1,030.01
  4. Step 4: Simplify right side
    693.70x = 1,060,916.09
  5. Step 5: Solve for x
    x = 1,060,916.09/693.70
  6. Step 6: Final answer
    x = 1,529.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.