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Finding the Third Proportional to 210,117 and 485,926.50

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Solution

The third proportional to 210,117 and 485,926.50 is: 1,123,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,117 : 485,926.50 = 485,926.50 : x
  2. Step 2: Convert to fraction form
    210,117/485,926.50 = 485,926.50/x
  3. Step 3: Cross multiply
    210,117x = 485,926.50 × 485,926.50
  4. Step 4: Simplify right side
    210,117x = 236,124,563,402.25
  5. Step 5: Solve for x
    x = 236,124,563,402.25/210,117
  6. Step 6: Final answer
    x = 1,123,776.58

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.