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Finding the Third Proportional to 434,744 and 668,316

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Solution

The third proportional to 434,744 and 668,316 is: 1,027,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,744 : 668,316 = 668,316 : x
  2. Step 2: Convert to fraction form
    434,744/668,316 = 668,316/x
  3. Step 3: Cross multiply
    434,744x = 668,316 × 668,316
  4. Step 4: Simplify right side
    434,744x = 446,646,275,856
  5. Step 5: Solve for x
    x = 446,646,275,856/434,744
  6. Step 6: Final answer
    x = 1,027,377.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.