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Finding the Third Proportional to 398,788 and 612,964

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Solution

The third proportional to 398,788 and 612,964 is: 942,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,788 : 612,964 = 612,964 : x
  2. Step 2: Convert to fraction form
    398,788/612,964 = 612,964/x
  3. Step 3: Cross multiply
    398,788x = 612,964 × 612,964
  4. Step 4: Simplify right side
    398,788x = 375,724,865,296
  5. Step 5: Solve for x
    x = 375,724,865,296/398,788
  6. Step 6: Final answer
    x = 942,166.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.