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Finding the Third Proportional to 498,905.72 and 1,094,381.16

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Solution

The third proportional to 498,905.72 and 1,094,381.16 is: 2,400,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,905.72 : 1,094,381.16 = 1,094,381.16 : x
  2. Step 2: Convert to fraction form
    498,905.72/1,094,381.16 = 1,094,381.16/x
  3. Step 3: Cross multiply
    498,905.72x = 1,094,381.16 × 1,094,381.16
  4. Step 4: Simplify right side
    498,905.72x = 1,197,670,115,155.09
  5. Step 5: Solve for x
    x = 1,197,670,115,155.09/498,905.72
  6. Step 6: Final answer
    x = 2,400,594.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.