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Finding the Third Proportional to 346,863 and 752,689.50

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Solution

The third proportional to 346,863 and 752,689.50 is: 1,633,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,863 : 752,689.50 = 752,689.50 : x
  2. Step 2: Convert to fraction form
    346,863/752,689.50 = 752,689.50/x
  3. Step 3: Cross multiply
    346,863x = 752,689.50 × 752,689.50
  4. Step 4: Simplify right side
    346,863x = 566,541,483,410.25
  5. Step 5: Solve for x
    x = 566,541,483,410.25/346,863
  6. Step 6: Final answer
    x = 1,633,329.25

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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.