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Finding the Third Proportional to 314,276.63 and 486,531.56

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Solution

The third proportional to 314,276.63 and 486,531.56 is: 753,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,276.63 : 486,531.56 = 486,531.56 : x
  2. Step 2: Convert to fraction form
    314,276.63/486,531.56 = 486,531.56/x
  3. Step 3: Cross multiply
    314,276.63x = 486,531.56 × 486,531.56
  4. Step 4: Simplify right side
    314,276.63x = 236,712,961,308.69
  5. Step 5: Solve for x
    x = 236,712,961,308.69/314,276.63
  6. Step 6: Final answer
    x = 753,199.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.