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Finding the Third Proportional to 371,869.50 and 805,561.50

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Solution

The third proportional to 371,869.50 and 805,561.50 is: 1,745,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,869.50 : 805,561.50 = 805,561.50 : x
  2. Step 2: Convert to fraction form
    371,869.50/805,561.50 = 805,561.50/x
  3. Step 3: Cross multiply
    371,869.50x = 805,561.50 × 805,561.50
  4. Step 4: Simplify right side
    371,869.50x = 648,929,330,282.25
  5. Step 5: Solve for x
    x = 648,929,330,282.25/371,869.50
  6. Step 6: Final answer
    x = 1,745,045.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.