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Finding the Third Proportional to 261,641.81 and 565,106.63

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Solution

The third proportional to 261,641.81 and 565,106.63 is: 1,220,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,641.81 : 565,106.63 = 565,106.63 : x
  2. Step 2: Convert to fraction form
    261,641.81/565,106.63 = 565,106.63/x
  3. Step 3: Cross multiply
    261,641.81x = 565,106.63 × 565,106.63
  4. Step 4: Simplify right side
    261,641.81x = 319,345,497,618.89
  5. Step 5: Solve for x
    x = 319,345,497,618.89/261,641.81
  6. Step 6: Final answer
    x = 1,220,544.59

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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.