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Finding the Third Proportional to 346,210 and 744,124

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Solution

The third proportional to 346,210 and 744,124 is: 1,599,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,210 : 744,124 = 744,124 : x
  2. Step 2: Convert to fraction form
    346,210/744,124 = 744,124/x
  3. Step 3: Cross multiply
    346,210x = 744,124 × 744,124
  4. Step 4: Simplify right side
    346,210x = 553,720,527,376
  5. Step 5: Solve for x
    x = 553,720,527,376/346,210
  6. Step 6: Final answer
    x = 1,599,377.62

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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.