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Finding the Third Proportional to 369,574 and 798,236

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Solution

The third proportional to 369,574 and 798,236 is: 1,724,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,574 : 798,236 = 798,236 : x
  2. Step 2: Convert to fraction form
    369,574/798,236 = 798,236/x
  3. Step 3: Cross multiply
    369,574x = 798,236 × 798,236
  4. Step 4: Simplify right side
    369,574x = 637,180,711,696
  5. Step 5: Solve for x
    x = 637,180,711,696/369,574
  6. Step 6: Final answer
    x = 1,724,095.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.