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Finding the Third Proportional to 270,074.50 and 588,746

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Solution

The third proportional to 270,074.50 and 588,746 is: 1,283,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,074.50 : 588,746 = 588,746 : x
  2. Step 2: Convert to fraction form
    270,074.50/588,746 = 588,746/x
  3. Step 3: Cross multiply
    270,074.50x = 588,746 × 588,746
  4. Step 4: Simplify right side
    270,074.50x = 346,621,852,516
  5. Step 5: Solve for x
    x = 346,621,852,516/270,074.50
  6. Step 6: Final answer
    x = 1,283,430.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.