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Finding the Third Proportional to 517,046 and 744,698

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Solution

The third proportional to 517,046 and 744,698 is: 1,072,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,046 : 744,698 = 744,698 : x
  2. Step 2: Convert to fraction form
    517,046/744,698 = 744,698/x
  3. Step 3: Cross multiply
    517,046x = 744,698 × 744,698
  4. Step 4: Simplify right side
    517,046x = 554,575,111,204
  5. Step 5: Solve for x
    x = 554,575,111,204/517,046
  6. Step 6: Final answer
    x = 1,072,583.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.