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Finding the Third Proportional to 614,273.63 and 971,301.38

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Solution

The third proportional to 614,273.63 and 971,301.38 is: 1,535,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,273.63 : 971,301.38 = 971,301.38 : x
  2. Step 2: Convert to fraction form
    614,273.63/971,301.38 = 971,301.38/x
  3. Step 3: Cross multiply
    614,273.63x = 971,301.38 × 971,301.38
  4. Step 4: Simplify right side
    614,273.63x = 943,426,361,076.89
  5. Step 5: Solve for x
    x = 943,426,361,076.89/614,273.63
  6. Step 6: Final answer
    x = 1,535,840.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.