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Finding the Third Proportional to 319,026 and 464,691

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Solution

The third proportional to 319,026 and 464,691 is: 676,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,026 : 464,691 = 464,691 : x
  2. Step 2: Convert to fraction form
    319,026/464,691 = 464,691/x
  3. Step 3: Cross multiply
    319,026x = 464,691 × 464,691
  4. Step 4: Simplify right side
    319,026x = 215,937,725,481
  5. Step 5: Solve for x
    x = 215,937,725,481/319,026
  6. Step 6: Final answer
    x = 676,865.60

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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.