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Finding the Third Proportional to 334,356 and 651,972

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Solution

The third proportional to 334,356 and 651,972 is: 1,271,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,356 : 651,972 = 651,972 : x
  2. Step 2: Convert to fraction form
    334,356/651,972 = 651,972/x
  3. Step 3: Cross multiply
    334,356x = 651,972 × 651,972
  4. Step 4: Simplify right side
    334,356x = 425,067,488,784
  5. Step 5: Solve for x
    x = 425,067,488,784/334,356
  6. Step 6: Final answer
    x = 1,271,302.11

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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.