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Finding the Third Proportional to 373,416 and 593,712

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Solution

The third proportional to 373,416 and 593,712 is: 943,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,416 : 593,712 = 593,712 : x
  2. Step 2: Convert to fraction form
    373,416/593,712 = 593,712/x
  3. Step 3: Cross multiply
    373,416x = 593,712 × 593,712
  4. Step 4: Simplify right side
    373,416x = 352,493,938,944
  5. Step 5: Solve for x
    x = 352,493,938,944/373,416
  6. Step 6: Final answer
    x = 943,971.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.