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Finding the Third Proportional to 507,804 and 788,822

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Solution

The third proportional to 507,804 and 788,822 is: 1,225,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,804 : 788,822 = 788,822 : x
  2. Step 2: Convert to fraction form
    507,804/788,822 = 788,822/x
  3. Step 3: Cross multiply
    507,804x = 788,822 × 788,822
  4. Step 4: Simplify right side
    507,804x = 622,240,147,684
  5. Step 5: Solve for x
    x = 622,240,147,684/507,804
  6. Step 6: Final answer
    x = 1,225,354.96

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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.