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Finding the Third Proportional to 194,490 and 429,804

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Solution

The third proportional to 194,490 and 429,804 is: 949,825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,490 : 429,804 = 429,804 : x
  2. Step 2: Convert to fraction form
    194,490/429,804 = 429,804/x
  3. Step 3: Cross multiply
    194,490x = 429,804 × 429,804
  4. Step 4: Simplify right side
    194,490x = 184,731,478,416
  5. Step 5: Solve for x
    x = 184,731,478,416/194,490
  6. Step 6: Final answer
    x = 949,825.07

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.