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Finding the Third Proportional to 388,160 and 589,248

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Solution

The third proportional to 388,160 and 589,248 is: 894,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,160 : 589,248 = 589,248 : x
  2. Step 2: Convert to fraction form
    388,160/589,248 = 589,248/x
  3. Step 3: Cross multiply
    388,160x = 589,248 × 589,248
  4. Step 4: Simplify right side
    388,160x = 347,213,205,504
  5. Step 5: Solve for x
    x = 347,213,205,504/388,160
  6. Step 6: Final answer
    x = 894,510.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.