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Finding the Third Proportional to 256,258.13 and 544,050

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Solution

The third proportional to 256,258.13 and 544,050 is: 1,155,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,258.13 : 544,050 = 544,050 : x
  2. Step 2: Convert to fraction form
    256,258.13/544,050 = 544,050/x
  3. Step 3: Cross multiply
    256,258.13x = 544,050 × 544,050
  4. Step 4: Simplify right side
    256,258.13x = 295,990,402,500
  5. Step 5: Solve for x
    x = 295,990,402,500/256,258.13
  6. Step 6: Final answer
    x = 1,155,047.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.