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Finding the Third Proportional to 450,537 and 629,878.50

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Solution

The third proportional to 450,537 and 629,878.50 is: 880,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,537 : 629,878.50 = 629,878.50 : x
  2. Step 2: Convert to fraction form
    450,537/629,878.50 = 629,878.50/x
  3. Step 3: Cross multiply
    450,537x = 629,878.50 × 629,878.50
  4. Step 4: Simplify right side
    450,537x = 396,746,924,762.25
  5. Step 5: Solve for x
    x = 396,746,924,762.25/450,537
  6. Step 6: Final answer
    x = 880,608.97

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.