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Finding the Third Proportional to 614,375.25 and 1,346,848.50

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Solution

The third proportional to 614,375.25 and 1,346,848.50 is: 2,952,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,375.25 : 1,346,848.50 = 1,346,848.50 : x
  2. Step 2: Convert to fraction form
    614,375.25/1,346,848.50 = 1,346,848.50/x
  3. Step 3: Cross multiply
    614,375.25x = 1,346,848.50 × 1,346,848.50
  4. Step 4: Simplify right side
    614,375.25x = 1,814,000,881,952.25
  5. Step 5: Solve for x
    x = 1,814,000,881,952.25/614,375.25
  6. Step 6: Final answer
    x = 2,952,594.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.