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Finding the Third Proportional to 292,429.50 and 607,842.75

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Solution

The third proportional to 292,429.50 and 607,842.75 is: 1,263,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,429.50 : 607,842.75 = 607,842.75 : x
  2. Step 2: Convert to fraction form
    292,429.50/607,842.75 = 607,842.75/x
  3. Step 3: Cross multiply
    292,429.50x = 607,842.75 × 607,842.75
  4. Step 4: Simplify right side
    292,429.50x = 369,472,808,727.56
  5. Step 5: Solve for x
    x = 369,472,808,727.56/292,429.50
  6. Step 6: Final answer
    x = 1,263,459.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.