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Finding the Third Proportional to 470,317.50 and 1,034,275.50

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Solution

The third proportional to 470,317.50 and 1,034,275.50 is: 2,274,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,317.50 : 1,034,275.50 = 1,034,275.50 : x
  2. Step 2: Convert to fraction form
    470,317.50/1,034,275.50 = 1,034,275.50/x
  3. Step 3: Cross multiply
    470,317.50x = 1,034,275.50 × 1,034,275.50
  4. Step 4: Simplify right side
    470,317.50x = 1,069,725,809,900.25
  5. Step 5: Solve for x
    x = 1,069,725,809,900.25/470,317.50
  6. Step 6: Final answer
    x = 2,274,475.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.