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Finding the Third Proportional to 319,210.88 and 601,516.13

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Solution

The third proportional to 319,210.88 and 601,516.13 is: 1,133,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,210.88 : 601,516.13 = 601,516.13 : x
  2. Step 2: Convert to fraction form
    319,210.88/601,516.13 = 601,516.13/x
  3. Step 3: Cross multiply
    319,210.88x = 601,516.13 × 601,516.13
  4. Step 4: Simplify right side
    319,210.88x = 361,821,648,635.02
  5. Step 5: Solve for x
    x = 361,821,648,635.02/319,210.88
  6. Step 6: Final answer
    x = 1,133,487.85

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.