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Finding the Third Proportional to 291,686.63 and 633,168

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Solution

The third proportional to 291,686.63 and 633,168 is: 1,374,426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,686.63 : 633,168 = 633,168 : x
  2. Step 2: Convert to fraction form
    291,686.63/633,168 = 633,168/x
  3. Step 3: Cross multiply
    291,686.63x = 633,168 × 633,168
  4. Step 4: Simplify right side
    291,686.63x = 400,901,716,224
  5. Step 5: Solve for x
    x = 400,901,716,224/291,686.63
  6. Step 6: Final answer
    x = 1,374,426.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.