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Finding the Third Proportional to 265,425.50 and 573,085.50

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Solution

The third proportional to 265,425.50 and 573,085.50 is: 1,237,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,425.50 : 573,085.50 = 573,085.50 : x
  2. Step 2: Convert to fraction form
    265,425.50/573,085.50 = 573,085.50/x
  3. Step 3: Cross multiply
    265,425.50x = 573,085.50 × 573,085.50
  4. Step 4: Simplify right side
    265,425.50x = 328,426,990,310.25
  5. Step 5: Solve for x
    x = 328,426,990,310.25/265,425.50
  6. Step 6: Final answer
    x = 1,237,360.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.