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Finding the Third Proportional to 713,235.38 and 971,438.06

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Solution

The third proportional to 713,235.38 and 971,438.06 is: 1,323,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,235.38 : 971,438.06 = 971,438.06 : x
  2. Step 2: Convert to fraction form
    713,235.38/971,438.06 = 971,438.06/x
  3. Step 3: Cross multiply
    713,235.38x = 971,438.06 × 971,438.06
  4. Step 4: Simplify right side
    713,235.38x = 943,691,909,273.75
  5. Step 5: Solve for x
    x = 943,691,909,273.75/713,235.38
  6. Step 6: Final answer
    x = 1,323,114.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.