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Finding the Third Proportional to 541,543.50 and 841,929.75

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Solution

The third proportional to 541,543.50 and 841,929.75 is: 1,308,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,543.50 : 841,929.75 = 841,929.75 : x
  2. Step 2: Convert to fraction form
    541,543.50/841,929.75 = 841,929.75/x
  3. Step 3: Cross multiply
    541,543.50x = 841,929.75 × 841,929.75
  4. Step 4: Simplify right side
    541,543.50x = 708,845,703,935.06
  5. Step 5: Solve for x
    x = 708,845,703,935.06/541,543.50
  6. Step 6: Final answer
    x = 1,308,935.85

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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.