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Finding the Third Proportional to 464,457 and 717,822

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Solution

The third proportional to 464,457 and 717,822 is: 1,109,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,457 : 717,822 = 717,822 : x
  2. Step 2: Convert to fraction form
    464,457/717,822 = 717,822/x
  3. Step 3: Cross multiply
    464,457x = 717,822 × 717,822
  4. Step 4: Simplify right side
    464,457x = 515,268,423,684
  5. Step 5: Solve for x
    x = 515,268,423,684/464,457
  6. Step 6: Final answer
    x = 1,109,399.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.