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Finding the Third Proportional to 338,294.50 and 729,476

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Solution

The third proportional to 338,294.50 and 729,476 is: 1,572,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,294.50 : 729,476 = 729,476 : x
  2. Step 2: Convert to fraction form
    338,294.50/729,476 = 729,476/x
  3. Step 3: Cross multiply
    338,294.50x = 729,476 × 729,476
  4. Step 4: Simplify right side
    338,294.50x = 532,135,234,576
  5. Step 5: Solve for x
    x = 532,135,234,576/338,294.50
  6. Step 6: Final answer
    x = 1,572,994.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.