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Finding the Third Proportional to 585,336 and 875,496

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Solution

The third proportional to 585,336 and 875,496 is: 1,309,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,336 : 875,496 = 875,496 : x
  2. Step 2: Convert to fraction form
    585,336/875,496 = 875,496/x
  3. Step 3: Cross multiply
    585,336x = 875,496 × 875,496
  4. Step 4: Simplify right side
    585,336x = 766,493,246,016
  5. Step 5: Solve for x
    x = 766,493,246,016/585,336
  6. Step 6: Final answer
    x = 1,309,492.75

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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.