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Finding the Third Proportional to 631,671.75 and 971,905.50

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Solution

The third proportional to 631,671.75 and 971,905.50 is: 1,495,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,671.75 : 971,905.50 = 971,905.50 : x
  2. Step 2: Convert to fraction form
    631,671.75/971,905.50 = 971,905.50/x
  3. Step 3: Cross multiply
    631,671.75x = 971,905.50 × 971,905.50
  4. Step 4: Simplify right side
    631,671.75x = 944,600,300,930.25
  5. Step 5: Solve for x
    x = 944,600,300,930.25/631,671.75
  6. Step 6: Final answer
    x = 1,495,397.41

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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.