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Finding the Third Proportional to 434,918 and 612,471

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Solution

The third proportional to 434,918 and 612,471 is: 862,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,918 : 612,471 = 612,471 : x
  2. Step 2: Convert to fraction form
    434,918/612,471 = 612,471/x
  3. Step 3: Cross multiply
    434,918x = 612,471 × 612,471
  4. Step 4: Simplify right side
    434,918x = 375,120,725,841
  5. Step 5: Solve for x
    x = 375,120,725,841/434,918
  6. Step 6: Final answer
    x = 862,509.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.