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Finding the Third Proportional to 536,290.50 and 788,019

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Solution

The third proportional to 536,290.50 and 788,019 is: 1,157,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,290.50 : 788,019 = 788,019 : x
  2. Step 2: Convert to fraction form
    536,290.50/788,019 = 788,019/x
  3. Step 3: Cross multiply
    536,290.50x = 788,019 × 788,019
  4. Step 4: Simplify right side
    536,290.50x = 620,973,944,361
  5. Step 5: Solve for x
    x = 620,973,944,361/536,290.50
  6. Step 6: Final answer
    x = 1,157,905.92

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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.