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Finding the Third Proportional to 388,632 and 849,300

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Solution

The third proportional to 388,632 and 849,300 is: 1,856,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,632 : 849,300 = 849,300 : x
  2. Step 2: Convert to fraction form
    388,632/849,300 = 849,300/x
  3. Step 3: Cross multiply
    388,632x = 849,300 × 849,300
  4. Step 4: Simplify right side
    388,632x = 721,310,490,000
  5. Step 5: Solve for x
    x = 721,310,490,000/388,632
  6. Step 6: Final answer
    x = 1,856,024.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.