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Finding the Third Proportional to 314,011.50 and 680,151

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Solution

The third proportional to 314,011.50 and 680,151 is: 1,473,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,011.50 : 680,151 = 680,151 : x
  2. Step 2: Convert to fraction form
    314,011.50/680,151 = 680,151/x
  3. Step 3: Cross multiply
    314,011.50x = 680,151 × 680,151
  4. Step 4: Simplify right side
    314,011.50x = 462,605,382,801
  5. Step 5: Solve for x
    x = 462,605,382,801/314,011.50
  6. Step 6: Final answer
    x = 1,473,211.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.