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Finding the Third Proportional to 453,327 and 613,423.50

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Solution

The third proportional to 453,327 and 613,423.50 is: 830,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,327 : 613,423.50 = 613,423.50 : x
  2. Step 2: Convert to fraction form
    453,327/613,423.50 = 613,423.50/x
  3. Step 3: Cross multiply
    453,327x = 613,423.50 × 613,423.50
  4. Step 4: Simplify right side
    453,327x = 376,288,390,352.25
  5. Step 5: Solve for x
    x = 376,288,390,352.25/453,327
  6. Step 6: Final answer
    x = 830,059.52

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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.