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Finding the Third Proportional to 541,495.13 and 841,858.31

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Solution

The third proportional to 541,495.13 and 841,858.31 is: 1,308,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,495.13 : 841,858.31 = 841,858.31 : x
  2. Step 2: Convert to fraction form
    541,495.13/841,858.31 = 841,858.31/x
  3. Step 3: Cross multiply
    541,495.13x = 841,858.31 × 841,858.31
  4. Step 4: Simplify right side
    541,495.13x = 708,725,418,325.35
  5. Step 5: Solve for x
    x = 708,725,418,325.35/541,495.13
  6. Step 6: Final answer
    x = 1,308,830.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.