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Finding the Third Proportional to 540,760 and 783,258

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Solution

The third proportional to 540,760 and 783,258 is: 1,134,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,760 : 783,258 = 783,258 : x
  2. Step 2: Convert to fraction form
    540,760/783,258 = 783,258/x
  3. Step 3: Cross multiply
    540,760x = 783,258 × 783,258
  4. Step 4: Simplify right side
    540,760x = 613,493,094,564
  5. Step 5: Solve for x
    x = 613,493,094,564/540,760
  6. Step 6: Final answer
    x = 1,134,501.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.