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Finding the Third Proportional to 356,846.50 and 521,031.50

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Solution

The third proportional to 356,846.50 and 521,031.50 is: 760,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,846.50 : 521,031.50 = 521,031.50 : x
  2. Step 2: Convert to fraction form
    356,846.50/521,031.50 = 521,031.50/x
  3. Step 3: Cross multiply
    356,846.50x = 521,031.50 × 521,031.50
  4. Step 4: Simplify right side
    356,846.50x = 271,473,823,992.25
  5. Step 5: Solve for x
    x = 271,473,823,992.25/356,846.50
  6. Step 6: Final answer
    x = 760,757.98

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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.