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Finding the Third Proportional to 343,984 and 495,468

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Solution

The third proportional to 343,984 and 495,468 is: 713,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,984 : 495,468 = 495,468 : x
  2. Step 2: Convert to fraction form
    343,984/495,468 = 495,468/x
  3. Step 3: Cross multiply
    343,984x = 495,468 × 495,468
  4. Step 4: Simplify right side
    343,984x = 245,488,539,024
  5. Step 5: Solve for x
    x = 245,488,539,024/343,984
  6. Step 6: Final answer
    x = 713,662.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.