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Finding the Third Proportional to 384,355.97 and 841,109.06

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Solution

The third proportional to 384,355.97 and 841,109.06 is: 1,840,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,355.97 : 841,109.06 = 841,109.06 : x
  2. Step 2: Convert to fraction form
    384,355.97/841,109.06 = 841,109.06/x
  3. Step 3: Cross multiply
    384,355.97x = 841,109.06 × 841,109.06
  4. Step 4: Simplify right side
    384,355.97x = 707,464,455,019.63
  5. Step 5: Solve for x
    x = 707,464,455,019.63/384,355.97
  6. Step 6: Final answer
    x = 1,840,649.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.