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Finding the Third Proportional to 326,507.50 and 478,583

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Solution

The third proportional to 326,507.50 and 478,583 is: 701,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,507.50 : 478,583 = 478,583 : x
  2. Step 2: Convert to fraction form
    326,507.50/478,583 = 478,583/x
  3. Step 3: Cross multiply
    326,507.50x = 478,583 × 478,583
  4. Step 4: Simplify right side
    326,507.50x = 229,041,687,889
  5. Step 5: Solve for x
    x = 229,041,687,889/326,507.50
  6. Step 6: Final answer
    x = 701,489.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.