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Finding the Third Proportional to 265,698 and 574,810

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Solution

The third proportional to 265,698 and 574,810 is: 1,243,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,698 : 574,810 = 574,810 : x
  2. Step 2: Convert to fraction form
    265,698/574,810 = 574,810/x
  3. Step 3: Cross multiply
    265,698x = 574,810 × 574,810
  4. Step 4: Simplify right side
    265,698x = 330,406,536,100
  5. Step 5: Solve for x
    x = 330,406,536,100/265,698
  6. Step 6: Final answer
    x = 1,243,541.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.