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Finding the Third Proportional to 319,030 and 464,697

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Solution

The third proportional to 319,030 and 464,697 is: 676,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,030 : 464,697 = 464,697 : x
  2. Step 2: Convert to fraction form
    319,030/464,697 = 464,697/x
  3. Step 3: Cross multiply
    319,030x = 464,697 × 464,697
  4. Step 4: Simplify right side
    319,030x = 215,943,301,809
  5. Step 5: Solve for x
    x = 215,943,301,809/319,030
  6. Step 6: Final answer
    x = 676,874.59

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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.