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Finding the Third Proportional to 421,979.63 and 899,312.63

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Solution

The third proportional to 421,979.63 and 899,312.63 is: 1,916,593.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,979.63 : 899,312.63 = 899,312.63 : x
  2. Step 2: Convert to fraction form
    421,979.63/899,312.63 = 899,312.63/x
  3. Step 3: Cross multiply
    421,979.63x = 899,312.63 × 899,312.63
  4. Step 4: Simplify right side
    421,979.63x = 808,763,197,484.39
  5. Step 5: Solve for x
    x = 808,763,197,484.39/421,979.63
  6. Step 6: Final answer
    x = 1,916,593.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.