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Finding the Third Proportional to 707.48 and 1,501.03

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Solution

The third proportional to 707.48 and 1,501.03 is: 3,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.48 : 1,501.03 = 1,501.03 : x
  2. Step 2: Convert to fraction form
    707.48/1,501.03 = 1,501.03/x
  3. Step 3: Cross multiply
    707.48x = 1,501.03 × 1,501.03
  4. Step 4: Simplify right side
    707.48x = 2,253,094.81
  5. Step 5: Solve for x
    x = 2,253,094.81/707.48
  6. Step 6: Final answer
    x = 3,184.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.