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Finding the Third Proportional to 633,308.63 and 1,292,405.63

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Solution

The third proportional to 633,308.63 and 1,292,405.63 is: 2,637,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,308.63 : 1,292,405.63 = 1,292,405.63 : x
  2. Step 2: Convert to fraction form
    633,308.63/1,292,405.63 = 1,292,405.63/x
  3. Step 3: Cross multiply
    633,308.63x = 1,292,405.63 × 1,292,405.63
  4. Step 4: Simplify right side
    633,308.63x = 1,670,312,299,531.64
  5. Step 5: Solve for x
    x = 1,670,312,299,531.64/633,308.63
  6. Step 6: Final answer
    x = 2,637,438.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.