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Finding the Third Proportional to 341,493.47 and 493,358.34

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Solution

The third proportional to 341,493.47 and 493,358.34 is: 712,758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,493.47 : 493,358.34 = 493,358.34 : x
  2. Step 2: Convert to fraction form
    341,493.47/493,358.34 = 493,358.34/x
  3. Step 3: Cross multiply
    341,493.47x = 493,358.34 × 493,358.34
  4. Step 4: Simplify right side
    341,493.47x = 243,402,455,347.74
  5. Step 5: Solve for x
    x = 243,402,455,347.74/341,493.47
  6. Step 6: Final answer
    x = 712,758.74

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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.