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Finding the Third Proportional to 295,542 and 468,054

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Solution

The third proportional to 295,542 and 468,054 is: 741,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,542 : 468,054 = 468,054 : x
  2. Step 2: Convert to fraction form
    295,542/468,054 = 468,054/x
  3. Step 3: Cross multiply
    295,542x = 468,054 × 468,054
  4. Step 4: Simplify right side
    295,542x = 219,074,546,916
  5. Step 5: Solve for x
    x = 219,074,546,916/295,542
  6. Step 6: Final answer
    x = 741,263.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.