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Finding the Third Proportional to 368,768 and 802,309

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Solution

The third proportional to 368,768 and 802,309 is: 1,745,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,768 : 802,309 = 802,309 : x
  2. Step 2: Convert to fraction form
    368,768/802,309 = 802,309/x
  3. Step 3: Cross multiply
    368,768x = 802,309 × 802,309
  4. Step 4: Simplify right side
    368,768x = 643,699,731,481
  5. Step 5: Solve for x
    x = 643,699,731,481/368,768
  6. Step 6: Final answer
    x = 1,745,541.18

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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.