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Finding the Third Proportional to 356,532 and 534,875

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Solution

The third proportional to 356,532 and 534,875 is: 802,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,532 : 534,875 = 534,875 : x
  2. Step 2: Convert to fraction form
    356,532/534,875 = 534,875/x
  3. Step 3: Cross multiply
    356,532x = 534,875 × 534,875
  4. Step 4: Simplify right side
    356,532x = 286,091,265,625
  5. Step 5: Solve for x
    x = 286,091,265,625/356,532
  6. Step 6: Final answer
    x = 802,428.02

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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.