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Finding the Third Proportional to 464,838.75 and 710,614.69

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Solution

The third proportional to 464,838.75 and 710,614.69 is: 1,086,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,838.75 : 710,614.69 = 710,614.69 : x
  2. Step 2: Convert to fraction form
    464,838.75/710,614.69 = 710,614.69/x
  3. Step 3: Cross multiply
    464,838.75x = 710,614.69 × 710,614.69
  4. Step 4: Simplify right side
    464,838.75x = 504,973,234,090.72
  5. Step 5: Solve for x
    x = 504,973,234,090.72/464,838.75
  6. Step 6: Final answer
    x = 1,086,340.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.