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Finding the Third Proportional to 380,359 and 592,348

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Solution

The third proportional to 380,359 and 592,348 is: 922,486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,359 : 592,348 = 592,348 : x
  2. Step 2: Convert to fraction form
    380,359/592,348 = 592,348/x
  3. Step 3: Cross multiply
    380,359x = 592,348 × 592,348
  4. Step 4: Simplify right side
    380,359x = 350,876,153,104
  5. Step 5: Solve for x
    x = 350,876,153,104/380,359
  6. Step 6: Final answer
    x = 922,486.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.