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Finding the Third Proportional to 646,483.50 and 1,023,171.75

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Solution

The third proportional to 646,483.50 and 1,023,171.75 is: 1,619,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,483.50 : 1,023,171.75 = 1,023,171.75 : x
  2. Step 2: Convert to fraction form
    646,483.50/1,023,171.75 = 1,023,171.75/x
  3. Step 3: Cross multiply
    646,483.50x = 1,023,171.75 × 1,023,171.75
  4. Step 4: Simplify right side
    646,483.50x = 1,046,880,429,998.06
  5. Step 5: Solve for x
    x = 1,046,880,429,998.06/646,483.50
  6. Step 6: Final answer
    x = 1,619,345.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.