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Finding the Third Proportional to 349,714.13 and 724,302

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Solution

The third proportional to 349,714.13 and 724,302 is: 1,500,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,714.13 : 724,302 = 724,302 : x
  2. Step 2: Convert to fraction form
    349,714.13/724,302 = 724,302/x
  3. Step 3: Cross multiply
    349,714.13x = 724,302 × 724,302
  4. Step 4: Simplify right side
    349,714.13x = 524,613,387,204
  5. Step 5: Solve for x
    x = 524,613,387,204/349,714.13
  6. Step 6: Final answer
    x = 1,500,120.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.