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Finding the Third Proportional to 450,615 and 695,792.25

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Solution

The third proportional to 450,615 and 695,792.25 is: 1,074,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,615 : 695,792.25 = 695,792.25 : x
  2. Step 2: Convert to fraction form
    450,615/695,792.25 = 695,792.25/x
  3. Step 3: Cross multiply
    450,615x = 695,792.25 × 695,792.25
  4. Step 4: Simplify right side
    450,615x = 484,126,855,160.06
  5. Step 5: Solve for x
    x = 484,126,855,160.06/450,615
  6. Step 6: Final answer
    x = 1,074,369.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.