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Finding the Third Proportional to 624,501 and 1,298,089.50

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Solution

The third proportional to 624,501 and 1,298,089.50 is: 2,698,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,501 : 1,298,089.50 = 1,298,089.50 : x
  2. Step 2: Convert to fraction form
    624,501/1,298,089.50 = 1,298,089.50/x
  3. Step 3: Cross multiply
    624,501x = 1,298,089.50 × 1,298,089.50
  4. Step 4: Simplify right side
    624,501x = 1,685,036,350,010.25
  5. Step 5: Solve for x
    x = 1,685,036,350,010.25/624,501
  6. Step 6: Final answer
    x = 2,698,212.41

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.