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Finding the Third Proportional to 588,645 and 911,263.50

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Solution

The third proportional to 588,645 and 911,263.50 is: 1,410,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,645 : 911,263.50 = 911,263.50 : x
  2. Step 2: Convert to fraction form
    588,645/911,263.50 = 911,263.50/x
  3. Step 3: Cross multiply
    588,645x = 911,263.50 × 911,263.50
  4. Step 4: Simplify right side
    588,645x = 830,401,166,432.25
  5. Step 5: Solve for x
    x = 830,401,166,432.25/588,645
  6. Step 6: Final answer
    x = 1,410,699.43

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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.