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Finding the Third Proportional to 350,001.50 and 524,894

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Solution

The third proportional to 350,001.50 and 524,894 is: 787,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,001.50 : 524,894 = 524,894 : x
  2. Step 2: Convert to fraction form
    350,001.50/524,894 = 524,894/x
  3. Step 3: Cross multiply
    350,001.50x = 524,894 × 524,894
  4. Step 4: Simplify right side
    350,001.50x = 275,513,711,236
  5. Step 5: Solve for x
    x = 275,513,711,236/350,001.50
  6. Step 6: Final answer
    x = 787,178.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.