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Finding the Third Proportional to 292,150.13 and 456,678

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Solution

The third proportional to 292,150.13 and 456,678 is: 713,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,150.13 : 456,678 = 456,678 : x
  2. Step 2: Convert to fraction form
    292,150.13/456,678 = 456,678/x
  3. Step 3: Cross multiply
    292,150.13x = 456,678 × 456,678
  4. Step 4: Simplify right side
    292,150.13x = 208,554,795,684
  5. Step 5: Solve for x
    x = 208,554,795,684/292,150.13
  6. Step 6: Final answer
    x = 713,861.74

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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.