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Finding the Third Proportional to 265,746 and 403,539

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Solution

The third proportional to 265,746 and 403,539 is: 612,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,746 : 403,539 = 403,539 : x
  2. Step 2: Convert to fraction form
    265,746/403,539 = 403,539/x
  3. Step 3: Cross multiply
    265,746x = 403,539 × 403,539
  4. Step 4: Simplify right side
    265,746x = 162,843,724,521
  5. Step 5: Solve for x
    x = 162,843,724,521/265,746
  6. Step 6: Final answer
    x = 612,779.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.