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Finding the Third Proportional to 295,799.63 and 646,309.13

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Solution

The third proportional to 295,799.63 and 646,309.13 is: 1,412,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,799.63 : 646,309.13 = 646,309.13 : x
  2. Step 2: Convert to fraction form
    295,799.63/646,309.13 = 646,309.13/x
  3. Step 3: Cross multiply
    295,799.63x = 646,309.13 × 646,309.13
  4. Step 4: Simplify right side
    295,799.63x = 417,715,485,058.27
  5. Step 5: Solve for x
    x = 417,715,485,058.27/295,799.63
  6. Step 6: Final answer
    x = 1,412,156.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.