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Finding the Third Proportional to 413,163 and 875,938.50

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Solution

The third proportional to 413,163 and 875,938.50 is: 1,857,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,163 : 875,938.50 = 875,938.50 : x
  2. Step 2: Convert to fraction form
    413,163/875,938.50 = 875,938.50/x
  3. Step 3: Cross multiply
    413,163x = 875,938.50 × 875,938.50
  4. Step 4: Simplify right side
    413,163x = 767,268,255,782.25
  5. Step 5: Solve for x
    x = 767,268,255,782.25/413,163
  6. Step 6: Final answer
    x = 1,857,059.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.