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Finding the Third Proportional to 343,577 and 534,996

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Solution

The third proportional to 343,577 and 534,996 is: 833,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,577 : 534,996 = 534,996 : x
  2. Step 2: Convert to fraction form
    343,577/534,996 = 534,996/x
  3. Step 3: Cross multiply
    343,577x = 534,996 × 534,996
  4. Step 4: Simplify right side
    343,577x = 286,220,720,016
  5. Step 5: Solve for x
    x = 286,220,720,016/343,577
  6. Step 6: Final answer
    x = 833,061.35

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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.