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Finding the Third Proportional to 434,884 and 612,411

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Solution

The third proportional to 434,884 and 612,411 is: 862,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,884 : 612,411 = 612,411 : x
  2. Step 2: Convert to fraction form
    434,884/612,411 = 612,411/x
  3. Step 3: Cross multiply
    434,884x = 612,411 × 612,411
  4. Step 4: Simplify right side
    434,884x = 375,047,232,921
  5. Step 5: Solve for x
    x = 375,047,232,921/434,884
  6. Step 6: Final answer
    x = 862,407.52

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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.