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Finding the Third Proportional to 341,240 and 535,258

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Solution

The third proportional to 341,240 and 535,258 is: 839,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,240 : 535,258 = 535,258 : x
  2. Step 2: Convert to fraction form
    341,240/535,258 = 535,258/x
  3. Step 3: Cross multiply
    341,240x = 535,258 × 535,258
  4. Step 4: Simplify right side
    341,240x = 286,501,126,564
  5. Step 5: Solve for x
    x = 286,501,126,564/341,240
  6. Step 6: Final answer
    x = 839,588.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.