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Finding the Third Proportional to 465,930.75 and 637,588.50

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Solution

The third proportional to 465,930.75 and 637,588.50 is: 872,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,930.75 : 637,588.50 = 637,588.50 : x
  2. Step 2: Convert to fraction form
    465,930.75/637,588.50 = 637,588.50/x
  3. Step 3: Cross multiply
    465,930.75x = 637,588.50 × 637,588.50
  4. Step 4: Simplify right side
    465,930.75x = 406,519,095,332.25
  5. Step 5: Solve for x
    x = 406,519,095,332.25/465,930.75
  6. Step 6: Final answer
    x = 872,488.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.