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Finding the Third Proportional to 334,358 and 651,976

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Solution

The third proportional to 334,358 and 651,976 is: 1,271,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,358 : 651,976 = 651,976 : x
  2. Step 2: Convert to fraction form
    334,358/651,976 = 651,976/x
  3. Step 3: Cross multiply
    334,358x = 651,976 × 651,976
  4. Step 4: Simplify right side
    334,358x = 425,072,704,576
  5. Step 5: Solve for x
    x = 425,072,704,576/334,358
  6. Step 6: Final answer
    x = 1,271,310.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.