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Finding the Third Proportional to 199,574 and 430,804

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Solution

The third proportional to 199,574 and 430,804 is: 929,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,574 : 430,804 = 430,804 : x
  2. Step 2: Convert to fraction form
    199,574/430,804 = 430,804/x
  3. Step 3: Cross multiply
    199,574x = 430,804 × 430,804
  4. Step 4: Simplify right side
    199,574x = 185,592,086,416
  5. Step 5: Solve for x
    x = 185,592,086,416/199,574
  6. Step 6: Final answer
    x = 929,941.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.