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Finding the Third Proportional to 241,290 and 375,723

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Solution

The third proportional to 241,290 and 375,723 is: 585,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,290 : 375,723 = 375,723 : x
  2. Step 2: Convert to fraction form
    241,290/375,723 = 375,723/x
  3. Step 3: Cross multiply
    241,290x = 375,723 × 375,723
  4. Step 4: Simplify right side
    241,290x = 141,167,772,729
  5. Step 5: Solve for x
    x = 141,167,772,729/241,290
  6. Step 6: Final answer
    x = 585,054.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.