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Finding the Third Proportional to 552,615 and 830,974.50

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Solution

The third proportional to 552,615 and 830,974.50 is: 1,249,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,615 : 830,974.50 = 830,974.50 : x
  2. Step 2: Convert to fraction form
    552,615/830,974.50 = 830,974.50/x
  3. Step 3: Cross multiply
    552,615x = 830,974.50 × 830,974.50
  4. Step 4: Simplify right side
    552,615x = 690,518,619,650.25
  5. Step 5: Solve for x
    x = 690,518,619,650.25/552,615
  6. Step 6: Final answer
    x = 1,249,547.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.