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Finding the Third Proportional to 453,698.63 and 616,539.75

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Solution

The third proportional to 453,698.63 and 616,539.75 is: 837,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,698.63 : 616,539.75 = 616,539.75 : x
  2. Step 2: Convert to fraction form
    453,698.63/616,539.75 = 616,539.75/x
  3. Step 3: Cross multiply
    453,698.63x = 616,539.75 × 616,539.75
  4. Step 4: Simplify right side
    453,698.63x = 380,121,263,330.06
  5. Step 5: Solve for x
    x = 380,121,263,330.06/453,698.63
  6. Step 6: Final answer
    x = 837,827.67

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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.