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Finding the Third Proportional to 526,852 and 794,822

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Solution

The third proportional to 526,852 and 794,822 is: 1,199,088.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,852 : 794,822 = 794,822 : x
  2. Step 2: Convert to fraction form
    526,852/794,822 = 794,822/x
  3. Step 3: Cross multiply
    526,852x = 794,822 × 794,822
  4. Step 4: Simplify right side
    526,852x = 631,742,011,684
  5. Step 5: Solve for x
    x = 631,742,011,684/526,852
  6. Step 6: Final answer
    x = 1,199,088.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.