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Finding the Third Proportional to 356,599 and 729,594

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Solution

The third proportional to 356,599 and 729,594 is: 1,492,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,599 : 729,594 = 729,594 : x
  2. Step 2: Convert to fraction form
    356,599/729,594 = 729,594/x
  3. Step 3: Cross multiply
    356,599x = 729,594 × 729,594
  4. Step 4: Simplify right side
    356,599x = 532,307,404,836
  5. Step 5: Solve for x
    x = 532,307,404,836/356,599
  6. Step 6: Final answer
    x = 1,492,733.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.