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Finding the Third Proportional to 657,216 and 990,697.50

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Solution

The third proportional to 657,216 and 990,697.50 is: 1,493,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,216 : 990,697.50 = 990,697.50 : x
  2. Step 2: Convert to fraction form
    657,216/990,697.50 = 990,697.50/x
  3. Step 3: Cross multiply
    657,216x = 990,697.50 × 990,697.50
  4. Step 4: Simplify right side
    657,216x = 981,481,536,506.25
  5. Step 5: Solve for x
    x = 981,481,536,506.25/657,216
  6. Step 6: Final answer
    x = 1,493,392.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.