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Finding the Third Proportional to 265,840 and 583,348

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Solution

The third proportional to 265,840 and 583,348 is: 1,280,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,840 : 583,348 = 583,348 : x
  2. Step 2: Convert to fraction form
    265,840/583,348 = 583,348/x
  3. Step 3: Cross multiply
    265,840x = 583,348 × 583,348
  4. Step 4: Simplify right side
    265,840x = 340,294,889,104
  5. Step 5: Solve for x
    x = 340,294,889,104/265,840
  6. Step 6: Final answer
    x = 1,280,074.06

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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.