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Finding the Third Proportional to 312,931.50 and 675,748.50

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Solution

The third proportional to 312,931.50 and 675,748.50 is: 1,459,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,931.50 : 675,748.50 = 675,748.50 : x
  2. Step 2: Convert to fraction form
    312,931.50/675,748.50 = 675,748.50/x
  3. Step 3: Cross multiply
    312,931.50x = 675,748.50 × 675,748.50
  4. Step 4: Simplify right side
    312,931.50x = 456,636,035,252.25
  5. Step 5: Solve for x
    x = 456,636,035,252.25/312,931.50
  6. Step 6: Final answer
    x = 1,459,220.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.