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Finding the Third Proportional to 372,570 and 590,207

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Solution

The third proportional to 372,570 and 590,207 is: 934,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,570 : 590,207 = 590,207 : x
  2. Step 2: Convert to fraction form
    372,570/590,207 = 590,207/x
  3. Step 3: Cross multiply
    372,570x = 590,207 × 590,207
  4. Step 4: Simplify right side
    372,570x = 348,344,302,849
  5. Step 5: Solve for x
    x = 348,344,302,849/372,570
  6. Step 6: Final answer
    x = 934,976.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.