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Finding the Third Proportional to 334,212 and 695,962.50

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Solution

The third proportional to 334,212 and 695,962.50 is: 1,449,271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,212 : 695,962.50 = 695,962.50 : x
  2. Step 2: Convert to fraction form
    334,212/695,962.50 = 695,962.50/x
  3. Step 3: Cross multiply
    334,212x = 695,962.50 × 695,962.50
  4. Step 4: Simplify right side
    334,212x = 484,363,801,406.25
  5. Step 5: Solve for x
    x = 484,363,801,406.25/334,212
  6. Step 6: Final answer
    x = 1,449,271.13

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.