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Finding the Third Proportional to 486,293.63 and 781,342.88

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Solution

The third proportional to 486,293.63 and 781,342.88 is: 1,255,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,293.63 : 781,342.88 = 781,342.88 : x
  2. Step 2: Convert to fraction form
    486,293.63/781,342.88 = 781,342.88/x
  3. Step 3: Cross multiply
    486,293.63x = 781,342.88 × 781,342.88
  4. Step 4: Simplify right side
    486,293.63x = 610,496,688,313.27
  5. Step 5: Solve for x
    x = 610,496,688,313.27/486,293.63
  6. Step 6: Final answer
    x = 1,255,407.55

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.