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Finding the Third Proportional to 710,010.56 and 970,025.63

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Solution

The third proportional to 710,010.56 and 970,025.63 is: 1,325,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,010.56 : 970,025.63 = 970,025.63 : x
  2. Step 2: Convert to fraction form
    710,010.56/970,025.63 = 970,025.63/x
  3. Step 3: Cross multiply
    710,010.56x = 970,025.63 × 970,025.63
  4. Step 4: Simplify right side
    710,010.56x = 940,949,713,156.64
  5. Step 5: Solve for x
    x = 940,949,713,156.64/710,010.56
  6. Step 6: Final answer
    x = 1,325,261.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.