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Finding the Third Proportional to 347,503.50 and 711,939

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Solution

The third proportional to 347,503.50 and 711,939 is: 1,458,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,503.50 : 711,939 = 711,939 : x
  2. Step 2: Convert to fraction form
    347,503.50/711,939 = 711,939/x
  3. Step 3: Cross multiply
    347,503.50x = 711,939 × 711,939
  4. Step 4: Simplify right side
    347,503.50x = 506,857,139,721
  5. Step 5: Solve for x
    x = 506,857,139,721/347,503.50
  6. Step 6: Final answer
    x = 1,458,567.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.