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Finding the Third Proportional to 326,918 and 700,492

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Solution

The third proportional to 326,918 and 700,492 is: 1,500,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,918 : 700,492 = 700,492 : x
  2. Step 2: Convert to fraction form
    326,918/700,492 = 700,492/x
  3. Step 3: Cross multiply
    326,918x = 700,492 × 700,492
  4. Step 4: Simplify right side
    326,918x = 490,689,042,064
  5. Step 5: Solve for x
    x = 490,689,042,064/326,918
  6. Step 6: Final answer
    x = 1,500,954.50

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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.