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Finding the Third Proportional to 493,467 and 1,076,176.50

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Solution

The third proportional to 493,467 and 1,076,176.50 is: 2,346,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,467 : 1,076,176.50 = 1,076,176.50 : x
  2. Step 2: Convert to fraction form
    493,467/1,076,176.50 = 1,076,176.50/x
  3. Step 3: Cross multiply
    493,467x = 1,076,176.50 × 1,076,176.50
  4. Step 4: Simplify right side
    493,467x = 1,158,155,859,152.25
  5. Step 5: Solve for x
    x = 1,158,155,859,152.25/493,467
  6. Step 6: Final answer
    x = 2,346,977.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.