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Finding the Third Proportional to 210,001.50 and 493,632.50

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Solution

The third proportional to 210,001.50 and 493,632.50 is: 1,160,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,001.50 : 493,632.50 = 493,632.50 : x
  2. Step 2: Convert to fraction form
    210,001.50/493,632.50 = 493,632.50/x
  3. Step 3: Cross multiply
    210,001.50x = 493,632.50 × 493,632.50
  4. Step 4: Simplify right side
    210,001.50x = 243,673,045,056.25
  5. Step 5: Solve for x
    x = 243,673,045,056.25/210,001.50
  6. Step 6: Final answer
    x = 1,160,339.55

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.