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Finding the Third Proportional to 614,817.84 and 859,751.72

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Solution

The third proportional to 614,817.84 and 859,751.72 is: 1,202,263.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,817.84 : 859,751.72 = 859,751.72 : x
  2. Step 2: Convert to fraction form
    614,817.84/859,751.72 = 859,751.72/x
  3. Step 3: Cross multiply
    614,817.84x = 859,751.72 × 859,751.72
  4. Step 4: Simplify right side
    614,817.84x = 739,173,017,893.58
  5. Step 5: Solve for x
    x = 739,173,017,893.58/614,817.84
  6. Step 6: Final answer
    x = 1,202,263.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.