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Finding the Third Proportional to 369,175 and 569,512

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Solution

The third proportional to 369,175 and 569,512 is: 878,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,175 : 569,512 = 569,512 : x
  2. Step 2: Convert to fraction form
    369,175/569,512 = 569,512/x
  3. Step 3: Cross multiply
    369,175x = 569,512 × 569,512
  4. Step 4: Simplify right side
    369,175x = 324,343,918,144
  5. Step 5: Solve for x
    x = 324,343,918,144/369,175
  6. Step 6: Final answer
    x = 878,564.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.