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Finding the Third Proportional to 360,946.13 and 785,588.63

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Solution

The third proportional to 360,946.13 and 785,588.63 is: 1,709,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,946.13 : 785,588.63 = 785,588.63 : x
  2. Step 2: Convert to fraction form
    360,946.13/785,588.63 = 785,588.63/x
  3. Step 3: Cross multiply
    360,946.13x = 785,588.63 × 785,588.63
  4. Step 4: Simplify right side
    360,946.13x = 617,149,487,729.39
  5. Step 5: Solve for x
    x = 617,149,487,729.39/360,946.13
  6. Step 6: Final answer
    x = 1,709,810.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.