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Finding the Third Proportional to 499,833 and 712,353

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Solution

The third proportional to 499,833 and 712,353 is: 1,015,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,833 : 712,353 = 712,353 : x
  2. Step 2: Convert to fraction form
    499,833/712,353 = 712,353/x
  3. Step 3: Cross multiply
    499,833x = 712,353 × 712,353
  4. Step 4: Simplify right side
    499,833x = 507,446,796,609
  5. Step 5: Solve for x
    x = 507,446,796,609/499,833
  6. Step 6: Final answer
    x = 1,015,232.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.