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Finding the Third Proportional to 493,153.31 and 742,987.69

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Solution

The third proportional to 493,153.31 and 742,987.69 is: 1,119,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,153.31 : 742,987.69 = 742,987.69 : x
  2. Step 2: Convert to fraction form
    493,153.31/742,987.69 = 742,987.69/x
  3. Step 3: Cross multiply
    493,153.31x = 742,987.69 × 742,987.69
  4. Step 4: Simplify right side
    493,153.31x = 552,030,703,776.60
  5. Step 5: Solve for x
    x = 552,030,703,776.60/493,153.31
  6. Step 6: Final answer
    x = 1,119,389.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.