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Finding the Third Proportional to 296,910 and 604,345.50

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Solution

The third proportional to 296,910 and 604,345.50 is: 1,230,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,910 : 604,345.50 = 604,345.50 : x
  2. Step 2: Convert to fraction form
    296,910/604,345.50 = 604,345.50/x
  3. Step 3: Cross multiply
    296,910x = 604,345.50 × 604,345.50
  4. Step 4: Simplify right side
    296,910x = 365,233,483,370.25
  5. Step 5: Solve for x
    x = 365,233,483,370.25/296,910
  6. Step 6: Final answer
    x = 1,230,115.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.