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Finding the Third Proportional to 261,764.16 and 569,880.14

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Solution

The third proportional to 261,764.16 and 569,880.14 is: 1,240,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,764.16 : 569,880.14 = 569,880.14 : x
  2. Step 2: Convert to fraction form
    261,764.16/569,880.14 = 569,880.14/x
  3. Step 3: Cross multiply
    261,764.16x = 569,880.14 × 569,880.14
  4. Step 4: Simplify right side
    261,764.16x = 324,763,374,678.77
  5. Step 5: Solve for x
    x = 324,763,374,678.77/261,764.16
  6. Step 6: Final answer
    x = 1,240,671.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.