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Finding the Third Proportional to 245,853 and 500,728.50

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Solution

The third proportional to 245,853 and 500,728.50 is: 1,019,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,853 : 500,728.50 = 500,728.50 : x
  2. Step 2: Convert to fraction form
    245,853/500,728.50 = 500,728.50/x
  3. Step 3: Cross multiply
    245,853x = 500,728.50 × 500,728.50
  4. Step 4: Simplify right side
    245,853x = 250,729,030,712.25
  5. Step 5: Solve for x
    x = 250,729,030,712.25/245,853
  6. Step 6: Final answer
    x = 1,019,833.11

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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.