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Finding the Third Proportional to 265,823.44 and 583,317.28

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Solution

The third proportional to 265,823.44 and 583,317.28 is: 1,280,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,823.44 : 583,317.28 = 583,317.28 : x
  2. Step 2: Convert to fraction form
    265,823.44/583,317.28 = 583,317.28/x
  3. Step 3: Cross multiply
    265,823.44x = 583,317.28 × 583,317.28
  4. Step 4: Simplify right side
    265,823.44x = 340,259,050,604.89
  5. Step 5: Solve for x
    x = 340,259,050,604.89/265,823.44
  6. Step 6: Final answer
    x = 1,280,019.00

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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.