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Finding the Third Proportional to 585,711 and 795,622.50

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Solution

The third proportional to 585,711 and 795,622.50 is: 1,080,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,711 : 795,622.50 = 795,622.50 : x
  2. Step 2: Convert to fraction form
    585,711/795,622.50 = 795,622.50/x
  3. Step 3: Cross multiply
    585,711x = 795,622.50 × 795,622.50
  4. Step 4: Simplify right side
    585,711x = 633,015,162,506.25
  5. Step 5: Solve for x
    x = 633,015,162,506.25/585,711
  6. Step 6: Final answer
    x = 1,080,763.66

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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.