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Finding the Third Proportional to 692,314.50 and 1,495,347

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Solution

The third proportional to 692,314.50 and 1,495,347 is: 3,229,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,314.50 : 1,495,347 = 1,495,347 : x
  2. Step 2: Convert to fraction form
    692,314.50/1,495,347 = 1,495,347/x
  3. Step 3: Cross multiply
    692,314.50x = 1,495,347 × 1,495,347
  4. Step 4: Simplify right side
    692,314.50x = 2,236,062,650,409
  5. Step 5: Solve for x
    x = 2,236,062,650,409/692,314.50
  6. Step 6: Final answer
    x = 3,229,836.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.