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Finding the Third Proportional to 579,546 and 851,953.50

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Solution

The third proportional to 579,546 and 851,953.50 is: 1,252,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,546 : 851,953.50 = 851,953.50 : x
  2. Step 2: Convert to fraction form
    579,546/851,953.50 = 851,953.50/x
  3. Step 3: Cross multiply
    579,546x = 851,953.50 × 851,953.50
  4. Step 4: Simplify right side
    579,546x = 725,824,766,162.25
  5. Step 5: Solve for x
    x = 725,824,766,162.25/579,546
  6. Step 6: Final answer
    x = 1,252,402.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.