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Finding the Third Proportional to 523,899.75 and 1,145,869.50

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Solution

The third proportional to 523,899.75 and 1,145,869.50 is: 2,506,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,899.75 : 1,145,869.50 = 1,145,869.50 : x
  2. Step 2: Convert to fraction form
    523,899.75/1,145,869.50 = 1,145,869.50/x
  3. Step 3: Cross multiply
    523,899.75x = 1,145,869.50 × 1,145,869.50
  4. Step 4: Simplify right side
    523,899.75x = 1,313,016,911,030.25
  5. Step 5: Solve for x
    x = 1,313,016,911,030.25/523,899.75
  6. Step 6: Final answer
    x = 2,506,236.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.