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Finding the Third Proportional to 291,386 and 450,019

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Solution

The third proportional to 291,386 and 450,019 is: 695,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,386 : 450,019 = 450,019 : x
  2. Step 2: Convert to fraction form
    291,386/450,019 = 450,019/x
  3. Step 3: Cross multiply
    291,386x = 450,019 × 450,019
  4. Step 4: Simplify right side
    291,386x = 202,517,100,361
  5. Step 5: Solve for x
    x = 202,517,100,361/291,386
  6. Step 6: Final answer
    x = 695,013.15

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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.