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Finding the Third Proportional to 349,592.06 and 761,457.94

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Solution

The third proportional to 349,592.06 and 761,457.94 is: 1,658,556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,592.06 : 761,457.94 = 761,457.94 : x
  2. Step 2: Convert to fraction form
    349,592.06/761,457.94 = 761,457.94/x
  3. Step 3: Cross multiply
    349,592.06x = 761,457.94 × 761,457.94
  4. Step 4: Simplify right side
    349,592.06x = 579,818,190,581.75
  5. Step 5: Solve for x
    x = 579,818,190,581.75/349,592.06
  6. Step 6: Final answer
    x = 1,658,556.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.