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Finding the Third Proportional to 341,484.19 and 493,345.69

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Solution

The third proportional to 341,484.19 and 493,345.69 is: 712,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,484.19 : 493,345.69 = 493,345.69 : x
  2. Step 2: Convert to fraction form
    341,484.19/493,345.69 = 493,345.69/x
  3. Step 3: Cross multiply
    341,484.19x = 493,345.69 × 493,345.69
  4. Step 4: Simplify right side
    341,484.19x = 243,389,967,374.85
  5. Step 5: Solve for x
    x = 243,389,967,374.85/341,484.19
  6. Step 6: Final answer
    x = 712,741.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.