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Finding the Third Proportional to 491,688 and 742,050

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Solution

The third proportional to 491,688 and 742,050 is: 1,119,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,688 : 742,050 = 742,050 : x
  2. Step 2: Convert to fraction form
    491,688/742,050 = 742,050/x
  3. Step 3: Cross multiply
    491,688x = 742,050 × 742,050
  4. Step 4: Simplify right side
    491,688x = 550,638,202,500
  5. Step 5: Solve for x
    x = 550,638,202,500/491,688
  6. Step 6: Final answer
    x = 1,119,893.51

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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.