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Finding the Third Proportional to 261,721.13 and 565,223.06

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Solution

The third proportional to 261,721.13 and 565,223.06 is: 1,220,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,721.13 : 565,223.06 = 565,223.06 : x
  2. Step 2: Convert to fraction form
    261,721.13/565,223.06 = 565,223.06/x
  3. Step 3: Cross multiply
    261,721.13x = 565,223.06 × 565,223.06
  4. Step 4: Simplify right side
    261,721.13x = 319,477,110,381.88
  5. Step 5: Solve for x
    x = 319,477,110,381.88/261,721.13
  6. Step 6: Final answer
    x = 1,220,677.58

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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.