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Finding the Third Proportional to 423,032.63 and 660,276.56

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Solution

The third proportional to 423,032.63 and 660,276.56 is: 1,030,570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,032.63 : 660,276.56 = 660,276.56 : x
  2. Step 2: Convert to fraction form
    423,032.63/660,276.56 = 660,276.56/x
  3. Step 3: Cross multiply
    423,032.63x = 660,276.56 × 660,276.56
  4. Step 4: Simplify right side
    423,032.63x = 435,965,138,986.82
  5. Step 5: Solve for x
    x = 435,965,138,986.82/423,032.63
  6. Step 6: Final answer
    x = 1,030,570.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.