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Finding the Third Proportional to 346,352 and 746,208

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Solution

The third proportional to 346,352 and 746,208 is: 1,607,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,352 : 746,208 = 746,208 : x
  2. Step 2: Convert to fraction form
    346,352/746,208 = 746,208/x
  3. Step 3: Cross multiply
    346,352x = 746,208 × 746,208
  4. Step 4: Simplify right side
    346,352x = 556,826,379,264
  5. Step 5: Solve for x
    x = 556,826,379,264/346,352
  6. Step 6: Final answer
    x = 1,607,689.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.