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Finding the Third Proportional to 598,124.25 and 1,312,508.81

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Solution

The third proportional to 598,124.25 and 1,312,508.81 is: 2,880,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,124.25 : 1,312,508.81 = 1,312,508.81 : x
  2. Step 2: Convert to fraction form
    598,124.25/1,312,508.81 = 1,312,508.81/x
  3. Step 3: Cross multiply
    598,124.25x = 1,312,508.81 × 1,312,508.81
  4. Step 4: Simplify right side
    598,124.25x = 1,722,679,382,890.16
  5. Step 5: Solve for x
    x = 1,722,679,382,890.16/598,124.25
  6. Step 6: Final answer
    x = 2,880,136.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.