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Finding the Third Proportional to 368,624 and 802,804

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Solution

The third proportional to 368,624 and 802,804 is: 1,748,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,624 : 802,804 = 802,804 : x
  2. Step 2: Convert to fraction form
    368,624/802,804 = 802,804/x
  3. Step 3: Cross multiply
    368,624x = 802,804 × 802,804
  4. Step 4: Simplify right side
    368,624x = 644,494,262,416
  5. Step 5: Solve for x
    x = 644,494,262,416/368,624
  6. Step 6: Final answer
    x = 1,748,378.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.