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Finding the Third Proportional to 342,495 and 739,869.75

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Solution

The third proportional to 342,495 and 739,869.75 is: 1,598,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,495 : 739,869.75 = 739,869.75 : x
  2. Step 2: Convert to fraction form
    342,495/739,869.75 = 739,869.75/x
  3. Step 3: Cross multiply
    342,495x = 739,869.75 × 739,869.75
  4. Step 4: Simplify right side
    342,495x = 547,407,246,965.06
  5. Step 5: Solve for x
    x = 547,407,246,965.06/342,495
  6. Step 6: Final answer
    x = 1,598,292.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.