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Finding the Third Proportional to 312,507 and 647,169

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Solution

The third proportional to 312,507 and 647,169 is: 1,340,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,507 : 647,169 = 647,169 : x
  2. Step 2: Convert to fraction form
    312,507/647,169 = 647,169/x
  3. Step 3: Cross multiply
    312,507x = 647,169 × 647,169
  4. Step 4: Simplify right side
    312,507x = 418,827,714,561
  5. Step 5: Solve for x
    x = 418,827,714,561/312,507
  6. Step 6: Final answer
    x = 1,340,218.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.