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Finding the Third Proportional to 199,527 and 430,706

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Solution

The third proportional to 199,527 and 430,706 is: 929,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,527 : 430,706 = 430,706 : x
  2. Step 2: Convert to fraction form
    199,527/430,706 = 430,706/x
  3. Step 3: Cross multiply
    199,527x = 430,706 × 430,706
  4. Step 4: Simplify right side
    199,527x = 185,507,658,436
  5. Step 5: Solve for x
    x = 185,507,658,436/199,527
  6. Step 6: Final answer
    x = 929,737.12

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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.