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Finding the Third Proportional to 368,770 and 802,313

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Solution

The third proportional to 368,770 and 802,313 is: 1,745,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,770 : 802,313 = 802,313 : x
  2. Step 2: Convert to fraction form
    368,770/802,313 = 802,313/x
  3. Step 3: Cross multiply
    368,770x = 802,313 × 802,313
  4. Step 4: Simplify right side
    368,770x = 643,706,149,969
  5. Step 5: Solve for x
    x = 643,706,149,969/368,770
  6. Step 6: Final answer
    x = 1,745,549.12

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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.