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Finding the Third Proportional to 245,354 and 501,028

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Solution

The third proportional to 245,354 and 501,028 is: 1,023,130.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,354 : 501,028 = 501,028 : x
  2. Step 2: Convert to fraction form
    245,354/501,028 = 501,028/x
  3. Step 3: Cross multiply
    245,354x = 501,028 × 501,028
  4. Step 4: Simplify right side
    245,354x = 251,029,056,784
  5. Step 5: Solve for x
    x = 251,029,056,784/245,354
  6. Step 6: Final answer
    x = 1,023,130.08

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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.