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Finding the Third Proportional to 341,694 and 525,924

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Solution

The third proportional to 341,694 and 525,924 is: 809,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,694 : 525,924 = 525,924 : x
  2. Step 2: Convert to fraction form
    341,694/525,924 = 525,924/x
  3. Step 3: Cross multiply
    341,694x = 525,924 × 525,924
  4. Step 4: Simplify right side
    341,694x = 276,596,053,776
  5. Step 5: Solve for x
    x = 276,596,053,776/341,694
  6. Step 6: Final answer
    x = 809,484.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.