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Finding the Third Proportional to 347,064.75 and 524,287.69

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Solution

The third proportional to 347,064.75 and 524,287.69 is: 792,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,064.75 : 524,287.69 = 524,287.69 : x
  2. Step 2: Convert to fraction form
    347,064.75/524,287.69 = 524,287.69/x
  3. Step 3: Cross multiply
    347,064.75x = 524,287.69 × 524,287.69
  4. Step 4: Simplify right side
    347,064.75x = 274,877,579,264.10
  5. Step 5: Solve for x
    x = 274,877,579,264.10/347,064.75
  6. Step 6: Final answer
    x = 792,006.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.