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Finding the Third Proportional to 423,087 and 881,165.50

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Solution

The third proportional to 423,087 and 881,165.50 is: 1,835,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,087 : 881,165.50 = 881,165.50 : x
  2. Step 2: Convert to fraction form
    423,087/881,165.50 = 881,165.50/x
  3. Step 3: Cross multiply
    423,087x = 881,165.50 × 881,165.50
  4. Step 4: Simplify right side
    423,087x = 776,452,638,390.25
  5. Step 5: Solve for x
    x = 776,452,638,390.25/423,087
  6. Step 6: Final answer
    x = 1,835,207.98

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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.