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Finding the Third Proportional to 334,319 and 488,676

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Solution

The third proportional to 334,319 and 488,676 is: 714,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,319 : 488,676 = 488,676 : x
  2. Step 2: Convert to fraction form
    334,319/488,676 = 488,676/x
  3. Step 3: Cross multiply
    334,319x = 488,676 × 488,676
  4. Step 4: Simplify right side
    334,319x = 238,804,232,976
  5. Step 5: Solve for x
    x = 238,804,232,976/334,319
  6. Step 6: Final answer
    x = 714,300.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.