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Finding the Third Proportional to 491,732 and 742,120

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Solution

The third proportional to 491,732 and 742,120 is: 1,120,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,732 : 742,120 = 742,120 : x
  2. Step 2: Convert to fraction form
    491,732/742,120 = 742,120/x
  3. Step 3: Cross multiply
    491,732x = 742,120 × 742,120
  4. Step 4: Simplify right side
    491,732x = 550,742,094,400
  5. Step 5: Solve for x
    x = 550,742,094,400/491,732
  6. Step 6: Final answer
    x = 1,120,004.58

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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.