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Finding the Third Proportional to 326,946.75 and 692,787

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Solution

The third proportional to 326,946.75 and 692,787 is: 1,467,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,946.75 : 692,787 = 692,787 : x
  2. Step 2: Convert to fraction form
    326,946.75/692,787 = 692,787/x
  3. Step 3: Cross multiply
    326,946.75x = 692,787 × 692,787
  4. Step 4: Simplify right side
    326,946.75x = 479,953,827,369
  5. Step 5: Solve for x
    x = 479,953,827,369/326,946.75
  6. Step 6: Final answer
    x = 1,467,987.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.