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Finding the Third Proportional to 524,199 and 801,539

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Solution

The third proportional to 524,199 and 801,539 is: 1,225,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,199 : 801,539 = 801,539 : x
  2. Step 2: Convert to fraction form
    524,199/801,539 = 801,539/x
  3. Step 3: Cross multiply
    524,199x = 801,539 × 801,539
  4. Step 4: Simplify right side
    524,199x = 642,464,768,521
  5. Step 5: Solve for x
    x = 642,464,768,521/524,199
  6. Step 6: Final answer
    x = 1,225,612.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.