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Finding the Third Proportional to 341,057 and 568,393.50

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Solution

The third proportional to 341,057 and 568,393.50 is: 947,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,057 : 568,393.50 = 568,393.50 : x
  2. Step 2: Convert to fraction form
    341,057/568,393.50 = 568,393.50/x
  3. Step 3: Cross multiply
    341,057x = 568,393.50 × 568,393.50
  4. Step 4: Simplify right side
    341,057x = 323,071,170,842.25
  5. Step 5: Solve for x
    x = 323,071,170,842.25/341,057
  6. Step 6: Final answer
    x = 947,264.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.