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Finding the Third Proportional to 390,144 and 838,485

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Solution

The third proportional to 390,144 and 838,485 is: 1,802,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,144 : 838,485 = 838,485 : x
  2. Step 2: Convert to fraction form
    390,144/838,485 = 838,485/x
  3. Step 3: Cross multiply
    390,144x = 838,485 × 838,485
  4. Step 4: Simplify right side
    390,144x = 703,057,095,225
  5. Step 5: Solve for x
    x = 703,057,095,225/390,144
  6. Step 6: Final answer
    x = 1,802,045.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.