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Finding the Third Proportional to 201,264 and 430,709

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Solution

The third proportional to 201,264 and 430,709 is: 921,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,264 : 430,709 = 430,709 : x
  2. Step 2: Convert to fraction form
    201,264/430,709 = 430,709/x
  3. Step 3: Cross multiply
    201,264x = 430,709 × 430,709
  4. Step 4: Simplify right side
    201,264x = 185,510,242,681
  5. Step 5: Solve for x
    x = 185,510,242,681/201,264
  6. Step 6: Final answer
    x = 921,725.91

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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.