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Finding the Third Proportional to 292,154.25 and 456,684

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Solution

The third proportional to 292,154.25 and 456,684 is: 713,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,154.25 : 456,684 = 456,684 : x
  2. Step 2: Convert to fraction form
    292,154.25/456,684 = 456,684/x
  3. Step 3: Cross multiply
    292,154.25x = 456,684 × 456,684
  4. Step 4: Simplify right side
    292,154.25x = 208,560,275,856
  5. Step 5: Solve for x
    x = 208,560,275,856/292,154.25
  6. Step 6: Final answer
    x = 713,870.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.