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Finding the Third Proportional to 287,401.50 and 609,822

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Solution

The third proportional to 287,401.50 and 609,822 is: 1,293,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,401.50 : 609,822 = 609,822 : x
  2. Step 2: Convert to fraction form
    287,401.50/609,822 = 609,822/x
  3. Step 3: Cross multiply
    287,401.50x = 609,822 × 609,822
  4. Step 4: Simplify right side
    287,401.50x = 371,882,871,684
  5. Step 5: Solve for x
    x = 371,882,871,684/287,401.50
  6. Step 6: Final answer
    x = 1,293,948.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.