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Finding the Third Proportional to 631,602 and 970,827.75

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Solution

The third proportional to 631,602 and 970,827.75 is: 1,492,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,602 : 970,827.75 = 970,827.75 : x
  2. Step 2: Convert to fraction form
    631,602/970,827.75 = 970,827.75/x
  3. Step 3: Cross multiply
    631,602x = 970,827.75 × 970,827.75
  4. Step 4: Simplify right side
    631,602x = 942,506,520,170.06
  5. Step 5: Solve for x
    x = 942,506,520,170.06/631,602
  6. Step 6: Final answer
    x = 1,492,247.52

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Why These Related Problems?

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