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Finding the Third Proportional to 628,875 and 996,475.50

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Solution

The third proportional to 628,875 and 996,475.50 is: 1,578,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,875 : 996,475.50 = 996,475.50 : x
  2. Step 2: Convert to fraction form
    628,875/996,475.50 = 996,475.50/x
  3. Step 3: Cross multiply
    628,875x = 996,475.50 × 996,475.50
  4. Step 4: Simplify right side
    628,875x = 992,963,422,100.25
  5. Step 5: Solve for x
    x = 992,963,422,100.25/628,875
  6. Step 6: Final answer
    x = 1,578,951.97

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.