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Finding the Third Proportional to 345,124.13 and 529,741.69

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Solution

The third proportional to 345,124.13 and 529,741.69 is: 813,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,124.13 : 529,741.69 = 529,741.69 : x
  2. Step 2: Convert to fraction form
    345,124.13/529,741.69 = 529,741.69/x
  3. Step 3: Cross multiply
    345,124.13x = 529,741.69 × 529,741.69
  4. Step 4: Simplify right side
    345,124.13x = 280,626,255,475.35
  5. Step 5: Solve for x
    x = 280,626,255,475.35/345,124.13
  6. Step 6: Final answer
    x = 813,116.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.