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Finding the Third Proportional to 453,303.75 and 615,998.25

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Solution

The third proportional to 453,303.75 and 615,998.25 is: 837,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,303.75 : 615,998.25 = 615,998.25 : x
  2. Step 2: Convert to fraction form
    453,303.75/615,998.25 = 615,998.25/x
  3. Step 3: Cross multiply
    453,303.75x = 615,998.25 × 615,998.25
  4. Step 4: Simplify right side
    453,303.75x = 379,453,844,003.06
  5. Step 5: Solve for x
    x = 379,453,844,003.06/453,303.75
  6. Step 6: Final answer
    x = 837,085.16

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.