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Finding the Third Proportional to 315,544.50 and 675,423

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Solution

The third proportional to 315,544.50 and 675,423 is: 1,445,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,544.50 : 675,423 = 675,423 : x
  2. Step 2: Convert to fraction form
    315,544.50/675,423 = 675,423/x
  3. Step 3: Cross multiply
    315,544.50x = 675,423 × 675,423
  4. Step 4: Simplify right side
    315,544.50x = 456,196,228,929
  5. Step 5: Solve for x
    x = 456,196,228,929/315,544.50
  6. Step 6: Final answer
    x = 1,445,742.93

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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.