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Finding the Third Proportional to 292,914 and 439,371

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Solution

The third proportional to 292,914 and 439,371 is: 659,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,914 : 439,371 = 439,371 : x
  2. Step 2: Convert to fraction form
    292,914/439,371 = 439,371/x
  3. Step 3: Cross multiply
    292,914x = 439,371 × 439,371
  4. Step 4: Simplify right side
    292,914x = 193,046,875,641
  5. Step 5: Solve for x
    x = 193,046,875,641/292,914
  6. Step 6: Final answer
    x = 659,056.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.