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Finding the Third Proportional to 585,750 and 795,676.50

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Solution

The third proportional to 585,750 and 795,676.50 is: 1,080,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,750 : 795,676.50 = 795,676.50 : x
  2. Step 2: Convert to fraction form
    585,750/795,676.50 = 795,676.50/x
  3. Step 3: Cross multiply
    585,750x = 795,676.50 × 795,676.50
  4. Step 4: Simplify right side
    585,750x = 633,101,092,652.25
  5. Step 5: Solve for x
    x = 633,101,092,652.25/585,750
  6. Step 6: Final answer
    x = 1,080,838.40

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.