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Finding the Third Proportional to 611,566.50 and 899,374.50

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Solution

The third proportional to 611,566.50 and 899,374.50 is: 1,322,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,566.50 : 899,374.50 = 899,374.50 : x
  2. Step 2: Convert to fraction form
    611,566.50/899,374.50 = 899,374.50/x
  3. Step 3: Cross multiply
    611,566.50x = 899,374.50 × 899,374.50
  4. Step 4: Simplify right side
    611,566.50x = 808,874,491,250.25
  5. Step 5: Solve for x
    x = 808,874,491,250.25/611,566.50
  6. Step 6: Final answer
    x = 1,322,627.21

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Why These Related Problems?

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