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Finding the Third Proportional to 513,704 and 805,822

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Solution

The third proportional to 513,704 and 805,822 is: 1,264,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,704 : 805,822 = 805,822 : x
  2. Step 2: Convert to fraction form
    513,704/805,822 = 805,822/x
  3. Step 3: Cross multiply
    513,704x = 805,822 × 805,822
  4. Step 4: Simplify right side
    513,704x = 649,349,095,684
  5. Step 5: Solve for x
    x = 649,349,095,684/513,704
  6. Step 6: Final answer
    x = 1,264,053.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.