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Finding the Third Proportional to 357,498 and 524,214

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Solution

The third proportional to 357,498 and 524,214 is: 768,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,498 : 524,214 = 524,214 : x
  2. Step 2: Convert to fraction form
    357,498/524,214 = 524,214/x
  3. Step 3: Cross multiply
    357,498x = 524,214 × 524,214
  4. Step 4: Simplify right side
    357,498x = 274,800,317,796
  5. Step 5: Solve for x
    x = 274,800,317,796/357,498
  6. Step 6: Final answer
    x = 768,676.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.