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Finding the Third Proportional to 335,353 and 507,365

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Solution

The third proportional to 335,353 and 507,365 is: 767,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,353 : 507,365 = 507,365 : x
  2. Step 2: Convert to fraction form
    335,353/507,365 = 507,365/x
  3. Step 3: Cross multiply
    335,353x = 507,365 × 507,365
  4. Step 4: Simplify right side
    335,353x = 257,419,243,225
  5. Step 5: Solve for x
    x = 257,419,243,225/335,353
  6. Step 6: Final answer
    x = 767,606.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.