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Finding the Third Proportional to 292,382 and 437,383

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Solution

The third proportional to 292,382 and 437,383 is: 654,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,382 : 437,383 = 437,383 : x
  2. Step 2: Convert to fraction form
    292,382/437,383 = 437,383/x
  3. Step 3: Cross multiply
    292,382x = 437,383 × 437,383
  4. Step 4: Simplify right side
    292,382x = 191,303,888,689
  5. Step 5: Solve for x
    x = 191,303,888,689/292,382
  6. Step 6: Final answer
    x = 654,294.34

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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.