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Finding the Third Proportional to 371,312 and 784,960

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Solution

The third proportional to 371,312 and 784,960 is: 1,659,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,312 : 784,960 = 784,960 : x
  2. Step 2: Convert to fraction form
    371,312/784,960 = 784,960/x
  3. Step 3: Cross multiply
    371,312x = 784,960 × 784,960
  4. Step 4: Simplify right side
    371,312x = 616,162,201,600
  5. Step 5: Solve for x
    x = 616,162,201,600/371,312
  6. Step 6: Final answer
    x = 1,659,419.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.