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Finding the Third Proportional to 362,461.50 and 777,411

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Solution

The third proportional to 362,461.50 and 777,411 is: 1,667,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,461.50 : 777,411 = 777,411 : x
  2. Step 2: Convert to fraction form
    362,461.50/777,411 = 777,411/x
  3. Step 3: Cross multiply
    362,461.50x = 777,411 × 777,411
  4. Step 4: Simplify right side
    362,461.50x = 604,367,862,921
  5. Step 5: Solve for x
    x = 604,367,862,921/362,461.50
  6. Step 6: Final answer
    x = 1,667,398.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.