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Finding the Third Proportional to 292,064 and 439,392

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Solution

The third proportional to 292,064 and 439,392 is: 661,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,064 : 439,392 = 439,392 : x
  2. Step 2: Convert to fraction form
    292,064/439,392 = 439,392/x
  3. Step 3: Cross multiply
    292,064x = 439,392 × 439,392
  4. Step 4: Simplify right side
    292,064x = 193,065,329,664
  5. Step 5: Solve for x
    x = 193,065,329,664/292,064
  6. Step 6: Final answer
    x = 661,037.75

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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.