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Finding the Third Proportional to 484,342 and 664,871.50

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Solution

The third proportional to 484,342 and 664,871.50 is: 912,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,342 : 664,871.50 = 664,871.50 : x
  2. Step 2: Convert to fraction form
    484,342/664,871.50 = 664,871.50/x
  3. Step 3: Cross multiply
    484,342x = 664,871.50 × 664,871.50
  4. Step 4: Simplify right side
    484,342x = 442,054,111,512.25
  5. Step 5: Solve for x
    x = 442,054,111,512.25/484,342
  6. Step 6: Final answer
    x = 912,690.02

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