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Finding the Third Proportional to 631,659.75 and 971,886.75

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Solution

The third proportional to 631,659.75 and 971,886.75 is: 1,495,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,659.75 : 971,886.75 = 971,886.75 : x
  2. Step 2: Convert to fraction form
    631,659.75/971,886.75 = 971,886.75/x
  3. Step 3: Cross multiply
    631,659.75x = 971,886.75 × 971,886.75
  4. Step 4: Simplify right side
    631,659.75x = 944,563,854,825.56
  5. Step 5: Solve for x
    x = 944,563,854,825.56/631,659.75
  6. Step 6: Final answer
    x = 1,495,368.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.