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Finding the Third Proportional to 245,356 and 501,032

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Solution

The third proportional to 245,356 and 501,032 is: 1,023,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,356 : 501,032 = 501,032 : x
  2. Step 2: Convert to fraction form
    245,356/501,032 = 501,032/x
  3. Step 3: Cross multiply
    245,356x = 501,032 × 501,032
  4. Step 4: Simplify right side
    245,356x = 251,033,065,024
  5. Step 5: Solve for x
    x = 251,033,065,024/245,356
  6. Step 6: Final answer
    x = 1,023,138.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.