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Finding the Third Proportional to 245,352 and 501,024

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Solution

The third proportional to 245,352 and 501,024 is: 1,023,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,352 : 501,024 = 501,024 : x
  2. Step 2: Convert to fraction form
    245,352/501,024 = 501,024/x
  3. Step 3: Cross multiply
    245,352x = 501,024 × 501,024
  4. Step 4: Simplify right side
    245,352x = 251,025,048,576
  5. Step 5: Solve for x
    x = 251,025,048,576/245,352
  6. Step 6: Final answer
    x = 1,023,122.08

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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.