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Finding the Third Proportional to 723.75 and 1,037.06

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Solution

The third proportional to 723.75 and 1,037.06 is: 1,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.75 : 1,037.06 = 1,037.06 : x
  2. Step 2: Convert to fraction form
    723.75/1,037.06 = 1,037.06/x
  3. Step 3: Cross multiply
    723.75x = 1,037.06 × 1,037.06
  4. Step 4: Simplify right side
    723.75x = 1,075,498.63
  5. Step 5: Solve for x
    x = 1,075,498.63/723.75
  6. Step 6: Final answer
    x = 1,486.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.