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Finding the Third Proportional to 309,255 and 435,490.50

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Solution

The third proportional to 309,255 and 435,490.50 is: 613,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,255 : 435,490.50 = 435,490.50 : x
  2. Step 2: Convert to fraction form
    309,255/435,490.50 = 435,490.50/x
  3. Step 3: Cross multiply
    309,255x = 435,490.50 × 435,490.50
  4. Step 4: Simplify right side
    309,255x = 189,651,975,590.25
  5. Step 5: Solve for x
    x = 189,651,975,590.25/309,255
  6. Step 6: Final answer
    x = 613,254.36

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.