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Finding the Third Proportional to 491,707.50 and 742,083

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Solution

The third proportional to 491,707.50 and 742,083 is: 1,119,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,707.50 : 742,083 = 742,083 : x
  2. Step 2: Convert to fraction form
    491,707.50/742,083 = 742,083/x
  3. Step 3: Cross multiply
    491,707.50x = 742,083 × 742,083
  4. Step 4: Simplify right side
    491,707.50x = 550,687,178,889
  5. Step 5: Solve for x
    x = 550,687,178,889/491,707.50
  6. Step 6: Final answer
    x = 1,119,948.71

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Why These Related Problems?

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