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Finding the Third Proportional to 530,041.22 and 844,232.63

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Solution

The third proportional to 530,041.22 and 844,232.63 is: 1,344,666.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,041.22 : 844,232.63 = 844,232.63 : x
  2. Step 2: Convert to fraction form
    530,041.22/844,232.63 = 844,232.63/x
  3. Step 3: Cross multiply
    530,041.22x = 844,232.63 × 844,232.63
  4. Step 4: Simplify right side
    530,041.22x = 712,728,725,114.39
  5. Step 5: Solve for x
    x = 712,728,725,114.39/530,041.22
  6. Step 6: Final answer
    x = 1,344,666.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.