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Finding the Third Proportional to 357,482 and 524,194

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Solution

The third proportional to 357,482 and 524,194 is: 768,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,482 : 524,194 = 524,194 : x
  2. Step 2: Convert to fraction form
    357,482/524,194 = 524,194/x
  3. Step 3: Cross multiply
    357,482x = 524,194 × 524,194
  4. Step 4: Simplify right side
    357,482x = 274,779,349,636
  5. Step 5: Solve for x
    x = 274,779,349,636/357,482
  6. Step 6: Final answer
    x = 768,652.27

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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.