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Finding the Third Proportional to 356,534 and 534,878

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Solution

The third proportional to 356,534 and 534,878 is: 802,432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,534 : 534,878 = 534,878 : x
  2. Step 2: Convert to fraction form
    356,534/534,878 = 534,878/x
  3. Step 3: Cross multiply
    356,534x = 534,878 × 534,878
  4. Step 4: Simplify right side
    356,534x = 286,094,474,884
  5. Step 5: Solve for x
    x = 286,094,474,884/356,534
  6. Step 6: Final answer
    x = 802,432.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.