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Finding the Third Proportional to 348,748.88 and 493,615.13

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Solution

The third proportional to 348,748.88 and 493,615.13 is: 698,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,748.88 : 493,615.13 = 493,615.13 : x
  2. Step 2: Convert to fraction form
    348,748.88/493,615.13 = 493,615.13/x
  3. Step 3: Cross multiply
    348,748.88x = 493,615.13 × 493,615.13
  4. Step 4: Simplify right side
    348,748.88x = 243,655,891,628.77
  5. Step 5: Solve for x
    x = 243,655,891,628.77/348,748.88
  6. Step 6: Final answer
    x = 698,657.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.