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Finding the Third Proportional to 364,698 and 785,583

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Solution

The third proportional to 364,698 and 785,583 is: 1,692,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,698 : 785,583 = 785,583 : x
  2. Step 2: Convert to fraction form
    364,698/785,583 = 785,583/x
  3. Step 3: Cross multiply
    364,698x = 785,583 × 785,583
  4. Step 4: Simplify right side
    364,698x = 617,140,649,889
  5. Step 5: Solve for x
    x = 617,140,649,889/364,698
  6. Step 6: Final answer
    x = 1,692,196.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.