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Finding the Third Proportional to 319,030.88 and 652,596.75

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Solution

The third proportional to 319,030.88 and 652,596.75 is: 1,334,925.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,030.88 : 652,596.75 = 652,596.75 : x
  2. Step 2: Convert to fraction form
    319,030.88/652,596.75 = 652,596.75/x
  3. Step 3: Cross multiply
    319,030.88x = 652,596.75 × 652,596.75
  4. Step 4: Simplify right side
    319,030.88x = 425,882,518,110.56
  5. Step 5: Solve for x
    x = 425,882,518,110.56/319,030.88
  6. Step 6: Final answer
    x = 1,334,925.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.