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Finding the Third Proportional to 315,525 and 675,382.50

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Solution

The third proportional to 315,525 and 675,382.50 is: 1,445,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,525 : 675,382.50 = 675,382.50 : x
  2. Step 2: Convert to fraction form
    315,525/675,382.50 = 675,382.50/x
  3. Step 3: Cross multiply
    315,525x = 675,382.50 × 675,382.50
  4. Step 4: Simplify right side
    315,525x = 456,141,521,306.25
  5. Step 5: Solve for x
    x = 456,141,521,306.25/315,525
  6. Step 6: Final answer
    x = 1,445,658.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.