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Finding the Third Proportional to 346,869 and 752,701.50

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Solution

The third proportional to 346,869 and 752,701.50 is: 1,633,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,869 : 752,701.50 = 752,701.50 : x
  2. Step 2: Convert to fraction form
    346,869/752,701.50 = 752,701.50/x
  3. Step 3: Cross multiply
    346,869x = 752,701.50 × 752,701.50
  4. Step 4: Simplify right side
    346,869x = 566,559,548,102.25
  5. Step 5: Solve for x
    x = 566,559,548,102.25/346,869
  6. Step 6: Final answer
    x = 1,633,353.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.