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Finding the Third Proportional to 338,894 and 733,574

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Solution

The third proportional to 338,894 and 733,574 is: 1,587,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,894 : 733,574 = 733,574 : x
  2. Step 2: Convert to fraction form
    338,894/733,574 = 733,574/x
  3. Step 3: Cross multiply
    338,894x = 733,574 × 733,574
  4. Step 4: Simplify right side
    338,894x = 538,130,813,476
  5. Step 5: Solve for x
    x = 538,130,813,476/338,894
  6. Step 6: Final answer
    x = 1,587,903.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.