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Finding the Third Proportional to 406,657 and 629,101.50

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Solution

The third proportional to 406,657 and 629,101.50 is: 973,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,657 : 629,101.50 = 629,101.50 : x
  2. Step 2: Convert to fraction form
    406,657/629,101.50 = 629,101.50/x
  3. Step 3: Cross multiply
    406,657x = 629,101.50 × 629,101.50
  4. Step 4: Simplify right side
    406,657x = 395,768,697,302.25
  5. Step 5: Solve for x
    x = 395,768,697,302.25/406,657
  6. Step 6: Final answer
    x = 973,224.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.