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Finding the Third Proportional to 343,549 and 534,955

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Solution

The third proportional to 343,549 and 534,955 is: 833,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,549 : 534,955 = 534,955 : x
  2. Step 2: Convert to fraction form
    343,549/534,955 = 534,955/x
  3. Step 3: Cross multiply
    343,549x = 534,955 × 534,955
  4. Step 4: Simplify right side
    343,549x = 286,176,852,025
  5. Step 5: Solve for x
    x = 286,176,852,025/343,549
  6. Step 6: Final answer
    x = 833,001.56

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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.