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Finding the Third Proportional to 261,928.69 and 565,175.81

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Solution

The third proportional to 261,928.69 and 565,175.81 is: 1,219,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,928.69 : 565,175.81 = 565,175.81 : x
  2. Step 2: Convert to fraction form
    261,928.69/565,175.81 = 565,175.81/x
  3. Step 3: Cross multiply
    261,928.69x = 565,175.81 × 565,175.81
  4. Step 4: Simplify right side
    261,928.69x = 319,423,699,035.04
  5. Step 5: Solve for x
    x = 319,423,699,035.04/261,928.69
  6. Step 6: Final answer
    x = 1,219,506.36

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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.