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Finding the Third Proportional to 291,308 and 393,578

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Solution

The third proportional to 291,308 and 393,578 is: 531,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,308 : 393,578 = 393,578 : x
  2. Step 2: Convert to fraction form
    291,308/393,578 = 393,578/x
  3. Step 3: Cross multiply
    291,308x = 393,578 × 393,578
  4. Step 4: Simplify right side
    291,308x = 154,903,642,084
  5. Step 5: Solve for x
    x = 154,903,642,084/291,308
  6. Step 6: Final answer
    x = 531,752.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.