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Finding the Third Proportional to 335,312 and 729,556

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Solution

The third proportional to 335,312 and 729,556 is: 1,587,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,312 : 729,556 = 729,556 : x
  2. Step 2: Convert to fraction form
    335,312/729,556 = 729,556/x
  3. Step 3: Cross multiply
    335,312x = 729,556 × 729,556
  4. Step 4: Simplify right side
    335,312x = 532,251,957,136
  5. Step 5: Solve for x
    x = 532,251,957,136/335,312
  6. Step 6: Final answer
    x = 1,587,333.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.