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Finding the Third Proportional to 265,830 and 583,329

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Solution

The third proportional to 265,830 and 583,329 is: 1,280,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,830 : 583,329 = 583,329 : x
  2. Step 2: Convert to fraction form
    265,830/583,329 = 583,329/x
  3. Step 3: Cross multiply
    265,830x = 583,329 × 583,329
  4. Step 4: Simplify right side
    265,830x = 340,272,722,241
  5. Step 5: Solve for x
    x = 340,272,722,241/265,830
  6. Step 6: Final answer
    x = 1,280,038.83

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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.