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Finding the Third Proportional to 296,336.25 and 470,748.38

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Solution

The third proportional to 296,336.25 and 470,748.38 is: 747,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,336.25 : 470,748.38 = 470,748.38 : x
  2. Step 2: Convert to fraction form
    296,336.25/470,748.38 = 470,748.38/x
  3. Step 3: Cross multiply
    296,336.25x = 470,748.38 × 470,748.38
  4. Step 4: Simplify right side
    296,336.25x = 221,604,032,565.14
  5. Step 5: Solve for x
    x = 221,604,032,565.14/296,336.25
  6. Step 6: Final answer
    x = 747,812.77

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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.