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Finding the Third Proportional to 350,011.50 and 542,981.25

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Solution

The third proportional to 350,011.50 and 542,981.25 is: 842,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,011.50 : 542,981.25 = 542,981.25 : x
  2. Step 2: Convert to fraction form
    350,011.50/542,981.25 = 542,981.25/x
  3. Step 3: Cross multiply
    350,011.50x = 542,981.25 × 542,981.25
  4. Step 4: Simplify right side
    350,011.50x = 294,828,637,851.56
  5. Step 5: Solve for x
    x = 294,828,637,851.56/350,011.50
  6. Step 6: Final answer
    x = 842,339.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.