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Finding the Third Proportional to 753,615 and 1,148,065.50

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Solution

The third proportional to 753,615 and 1,148,065.50 is: 1,748,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,615 : 1,148,065.50 = 1,148,065.50 : x
  2. Step 2: Convert to fraction form
    753,615/1,148,065.50 = 1,148,065.50/x
  3. Step 3: Cross multiply
    753,615x = 1,148,065.50 × 1,148,065.50
  4. Step 4: Simplify right side
    753,615x = 1,318,054,392,290.25
  5. Step 5: Solve for x
    x = 1,318,054,392,290.25/753,615
  6. Step 6: Final answer
    x = 1,748,975.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.