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Finding the Third Proportional to 357,483 and 524,196

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Solution

The third proportional to 357,483 and 524,196 is: 768,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,483 : 524,196 = 524,196 : x
  2. Step 2: Convert to fraction form
    357,483/524,196 = 524,196/x
  3. Step 3: Cross multiply
    357,483x = 524,196 × 524,196
  4. Step 4: Simplify right side
    357,483x = 274,781,446,416
  5. Step 5: Solve for x
    x = 274,781,446,416/357,483
  6. Step 6: Final answer
    x = 768,655.98

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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.