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Finding the Third Proportional to 360,797 and 779,407.50

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Solution

The third proportional to 360,797 and 779,407.50 is: 1,683,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,797 : 779,407.50 = 779,407.50 : x
  2. Step 2: Convert to fraction form
    360,797/779,407.50 = 779,407.50/x
  3. Step 3: Cross multiply
    360,797x = 779,407.50 × 779,407.50
  4. Step 4: Simplify right side
    360,797x = 607,476,051,056.25
  5. Step 5: Solve for x
    x = 607,476,051,056.25/360,797
  6. Step 6: Final answer
    x = 1,683,705.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.