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Finding the Third Proportional to 386,724 and 830,574

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Solution

The third proportional to 386,724 and 830,574 is: 1,783,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,724 : 830,574 = 830,574 : x
  2. Step 2: Convert to fraction form
    386,724/830,574 = 830,574/x
  3. Step 3: Cross multiply
    386,724x = 830,574 × 830,574
  4. Step 4: Simplify right side
    386,724x = 689,853,169,476
  5. Step 5: Solve for x
    x = 689,853,169,476/386,724
  6. Step 6: Final answer
    x = 1,783,838.52

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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.