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Finding the Third Proportional to 273,890 and 592,708

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Solution

The third proportional to 273,890 and 592,708 is: 1,282,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,890 : 592,708 = 592,708 : x
  2. Step 2: Convert to fraction form
    273,890/592,708 = 592,708/x
  3. Step 3: Cross multiply
    273,890x = 592,708 × 592,708
  4. Step 4: Simplify right side
    273,890x = 351,302,773,264
  5. Step 5: Solve for x
    x = 351,302,773,264/273,890
  6. Step 6: Final answer
    x = 1,282,641.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.