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Finding the Third Proportional to 199,506 and 426,654

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Solution

The third proportional to 199,506 and 426,654 is: 912,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,506 : 426,654 = 426,654 : x
  2. Step 2: Convert to fraction form
    199,506/426,654 = 426,654/x
  3. Step 3: Cross multiply
    199,506x = 426,654 × 426,654
  4. Step 4: Simplify right side
    199,506x = 182,033,635,716
  5. Step 5: Solve for x
    x = 182,033,635,716/199,506
  6. Step 6: Final answer
    x = 912,421.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.