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Finding the Third Proportional to 491,698.13 and 742,065.19

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Solution

The third proportional to 491,698.13 and 742,065.19 is: 1,119,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,698.13 : 742,065.19 = 742,065.19 : x
  2. Step 2: Convert to fraction form
    491,698.13/742,065.19 = 742,065.19/x
  3. Step 3: Cross multiply
    491,698.13x = 742,065.19 × 742,065.19
  4. Step 4: Simplify right side
    491,698.13x = 550,660,742,499.41
  5. Step 5: Solve for x
    x = 550,660,742,499.41/491,698.13
  6. Step 6: Final answer
    x = 1,119,916.30

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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.