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Finding the Third Proportional to 357,457 and 524,157

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Solution

The third proportional to 357,457 and 524,157 is: 768,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,457 : 524,157 = 524,157 : x
  2. Step 2: Convert to fraction form
    357,457/524,157 = 524,157/x
  3. Step 3: Cross multiply
    357,457x = 524,157 × 524,157
  4. Step 4: Simplify right side
    357,457x = 274,740,560,649
  5. Step 5: Solve for x
    x = 274,740,560,649/357,457
  6. Step 6: Final answer
    x = 768,597.51

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