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Finding the Third Proportional to 499,752 and 794,817

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Solution

The third proportional to 499,752 and 794,817 is: 1,264,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,752 : 794,817 = 794,817 : x
  2. Step 2: Convert to fraction form
    499,752/794,817 = 794,817/x
  3. Step 3: Cross multiply
    499,752x = 794,817 × 794,817
  4. Step 4: Simplify right side
    499,752x = 631,734,063,489
  5. Step 5: Solve for x
    x = 631,734,063,489/499,752
  6. Step 6: Final answer
    x = 1,264,095.12

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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.