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Finding the Third Proportional to 373,635.47 and 524,284.17

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Solution

The third proportional to 373,635.47 and 524,284.17 is: 735,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,635.47 : 524,284.17 = 524,284.17 : x
  2. Step 2: Convert to fraction form
    373,635.47/524,284.17 = 524,284.17/x
  3. Step 3: Cross multiply
    373,635.47x = 524,284.17 × 524,284.17
  4. Step 4: Simplify right side
    373,635.47x = 274,873,892,878.66
  5. Step 5: Solve for x
    x = 274,873,892,878.66/373,635.47
  6. Step 6: Final answer
    x = 735,673.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.