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Finding the Third Proportional to 210,461.63 and 461,669.63

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Solution

The third proportional to 210,461.63 and 461,669.63 is: 1,012,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,461.63 : 461,669.63 = 461,669.63 : x
  2. Step 2: Convert to fraction form
    210,461.63/461,669.63 = 461,669.63/x
  3. Step 3: Cross multiply
    210,461.63x = 461,669.63 × 461,669.63
  4. Step 4: Simplify right side
    210,461.63x = 213,138,842,647.64
  5. Step 5: Solve for x
    x = 213,138,842,647.64/210,461.63
  6. Step 6: Final answer
    x = 1,012,720.69

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