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Finding the Third Proportional to 453,753 and 598,945.50

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Solution

The third proportional to 453,753 and 598,945.50 is: 790,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,753 : 598,945.50 = 598,945.50 : x
  2. Step 2: Convert to fraction form
    453,753/598,945.50 = 598,945.50/x
  3. Step 3: Cross multiply
    453,753x = 598,945.50 × 598,945.50
  4. Step 4: Simplify right side
    453,753x = 358,735,711,970.25
  5. Step 5: Solve for x
    x = 358,735,711,970.25/453,753
  6. Step 6: Final answer
    x = 790,596.89

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.