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Finding the Third Proportional to 245,686 and 360,471

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Solution

The third proportional to 245,686 and 360,471 is: 528,883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,686 : 360,471 = 360,471 : x
  2. Step 2: Convert to fraction form
    245,686/360,471 = 360,471/x
  3. Step 3: Cross multiply
    245,686x = 360,471 × 360,471
  4. Step 4: Simplify right side
    245,686x = 129,939,341,841
  5. Step 5: Solve for x
    x = 129,939,341,841/245,686
  6. Step 6: Final answer
    x = 528,883.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.