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Finding the Third Proportional to 386,068 and 581,937

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Solution

The third proportional to 386,068 and 581,937 is: 877,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,068 : 581,937 = 581,937 : x
  2. Step 2: Convert to fraction form
    386,068/581,937 = 581,937/x
  3. Step 3: Cross multiply
    386,068x = 581,937 × 581,937
  4. Step 4: Simplify right side
    386,068x = 338,650,671,969
  5. Step 5: Solve for x
    x = 338,650,671,969/386,068
  6. Step 6: Final answer
    x = 877,178.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.