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Finding the Third Proportional to 286,908 and 442,706

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Solution

The third proportional to 286,908 and 442,706 is: 683,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,908 : 442,706 = 442,706 : x
  2. Step 2: Convert to fraction form
    286,908/442,706 = 442,706/x
  3. Step 3: Cross multiply
    286,908x = 442,706 × 442,706
  4. Step 4: Simplify right side
    286,908x = 195,988,602,436
  5. Step 5: Solve for x
    x = 195,988,602,436/286,908
  6. Step 6: Final answer
    x = 683,106.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.