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Finding the Third Proportional to 413,386.50 and 620,079

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Solution

The third proportional to 413,386.50 and 620,079 is: 930,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,386.50 : 620,079 = 620,079 : x
  2. Step 2: Convert to fraction form
    413,386.50/620,079 = 620,079/x
  3. Step 3: Cross multiply
    413,386.50x = 620,079 × 620,079
  4. Step 4: Simplify right side
    413,386.50x = 384,497,966,241
  5. Step 5: Solve for x
    x = 384,497,966,241/413,386.50
  6. Step 6: Final answer
    x = 930,117.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.