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Finding the Third Proportional to 351,258 and 755,769

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Solution

The third proportional to 351,258 and 755,769 is: 1,626,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,258 : 755,769 = 755,769 : x
  2. Step 2: Convert to fraction form
    351,258/755,769 = 755,769/x
  3. Step 3: Cross multiply
    351,258x = 755,769 × 755,769
  4. Step 4: Simplify right side
    351,258x = 571,186,781,361
  5. Step 5: Solve for x
    x = 571,186,781,361/351,258
  6. Step 6: Final answer
    x = 1,626,117.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.