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Finding the Third Proportional to 398,726 and 594,633

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Solution

The third proportional to 398,726 and 594,633 is: 886,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,726 : 594,633 = 594,633 : x
  2. Step 2: Convert to fraction form
    398,726/594,633 = 594,633/x
  3. Step 3: Cross multiply
    398,726x = 594,633 × 594,633
  4. Step 4: Simplify right side
    398,726x = 353,588,404,689
  5. Step 5: Solve for x
    x = 353,588,404,689/398,726
  6. Step 6: Final answer
    x = 886,795.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.