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Finding the Third Proportional to 265,737 and 566,950.50

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Solution

The third proportional to 265,737 and 566,950.50 is: 1,209,590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,737 : 566,950.50 = 566,950.50 : x
  2. Step 2: Convert to fraction form
    265,737/566,950.50 = 566,950.50/x
  3. Step 3: Cross multiply
    265,737x = 566,950.50 × 566,950.50
  4. Step 4: Simplify right side
    265,737x = 321,432,869,450.25
  5. Step 5: Solve for x
    x = 321,432,869,450.25/265,737
  6. Step 6: Final answer
    x = 1,209,590.19

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.