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Finding the Third Proportional to 499,476 and 794,430

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Solution

The third proportional to 499,476 and 794,430 is: 1,263,562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,476 : 794,430 = 794,430 : x
  2. Step 2: Convert to fraction form
    499,476/794,430 = 794,430/x
  3. Step 3: Cross multiply
    499,476x = 794,430 × 794,430
  4. Step 4: Simplify right side
    499,476x = 631,119,024,900
  5. Step 5: Solve for x
    x = 631,119,024,900/499,476
  6. Step 6: Final answer
    x = 1,263,562.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.