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Finding the Third Proportional to 546,858 and 731,677.50

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Solution

The third proportional to 546,858 and 731,677.50 is: 978,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,858 : 731,677.50 = 731,677.50 : x
  2. Step 2: Convert to fraction form
    546,858/731,677.50 = 731,677.50/x
  3. Step 3: Cross multiply
    546,858x = 731,677.50 × 731,677.50
  4. Step 4: Simplify right side
    546,858x = 535,351,964,006.25
  5. Step 5: Solve for x
    x = 535,351,964,006.25/546,858
  6. Step 6: Final answer
    x = 978,959.74

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.