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Finding the Third Proportional to 388,536 and 832,368

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Solution

The third proportional to 388,536 and 832,368 is: 1,783,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,536 : 832,368 = 832,368 : x
  2. Step 2: Convert to fraction form
    388,536/832,368 = 832,368/x
  3. Step 3: Cross multiply
    388,536x = 832,368 × 832,368
  4. Step 4: Simplify right side
    388,536x = 692,836,487,424
  5. Step 5: Solve for x
    x = 692,836,487,424/388,536
  6. Step 6: Final answer
    x = 1,783,197.66

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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.