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Finding the Third Proportional to 453,321 and 613,414.50

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Solution

The third proportional to 453,321 and 613,414.50 is: 830,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,321 : 613,414.50 = 613,414.50 : x
  2. Step 2: Convert to fraction form
    453,321/613,414.50 = 613,414.50/x
  3. Step 3: Cross multiply
    453,321x = 613,414.50 × 613,414.50
  4. Step 4: Simplify right side
    453,321x = 376,277,348,810.25
  5. Step 5: Solve for x
    x = 376,277,348,810.25/453,321
  6. Step 6: Final answer
    x = 830,046.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.