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Finding the Third Proportional to 199,467 and 436,470

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Solution

The third proportional to 199,467 and 436,470 is: 955,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,467 : 436,470 = 436,470 : x
  2. Step 2: Convert to fraction form
    199,467/436,470 = 436,470/x
  3. Step 3: Cross multiply
    199,467x = 436,470 × 436,470
  4. Step 4: Simplify right side
    199,467x = 190,506,060,900
  5. Step 5: Solve for x
    x = 190,506,060,900/199,467
  6. Step 6: Final answer
    x = 955,075.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.