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Finding the Third Proportional to 544,329 and 846,300

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Solution

The third proportional to 544,329 and 846,300 is: 1,315,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,329 : 846,300 = 846,300 : x
  2. Step 2: Convert to fraction form
    544,329/846,300 = 846,300/x
  3. Step 3: Cross multiply
    544,329x = 846,300 × 846,300
  4. Step 4: Simplify right side
    544,329x = 716,223,690,000
  5. Step 5: Solve for x
    x = 716,223,690,000/544,329
  6. Step 6: Final answer
    x = 1,315,791.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.