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Finding the Third Proportional to 353,130 and 453,412.50

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Solution

The third proportional to 353,130 and 453,412.50 is: 582,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,130 : 453,412.50 = 453,412.50 : x
  2. Step 2: Convert to fraction form
    353,130/453,412.50 = 453,412.50/x
  3. Step 3: Cross multiply
    353,130x = 453,412.50 × 453,412.50
  4. Step 4: Simplify right side
    353,130x = 205,582,895,156.25
  5. Step 5: Solve for x
    x = 205,582,895,156.25/353,130
  6. Step 6: Final answer
    x = 582,173.41

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.