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Finding the Third Proportional to 346,154 and 745,876

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Solution

The third proportional to 346,154 and 745,876 is: 1,607,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,154 : 745,876 = 745,876 : x
  2. Step 2: Convert to fraction form
    346,154/745,876 = 745,876/x
  3. Step 3: Cross multiply
    346,154x = 745,876 × 745,876
  4. Step 4: Simplify right side
    346,154x = 556,331,007,376
  5. Step 5: Solve for x
    x = 556,331,007,376/346,154
  6. Step 6: Final answer
    x = 1,607,177.75

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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.