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Finding the Third Proportional to 467,937 and 958,051.50

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Solution

The third proportional to 467,937 and 958,051.50 is: 1,961,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,937 : 958,051.50 = 958,051.50 : x
  2. Step 2: Convert to fraction form
    467,937/958,051.50 = 958,051.50/x
  3. Step 3: Cross multiply
    467,937x = 958,051.50 × 958,051.50
  4. Step 4: Simplify right side
    467,937x = 917,862,676,652.25
  5. Step 5: Solve for x
    x = 917,862,676,652.25/467,937
  6. Step 6: Final answer
    x = 1,961,509.08

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.