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Finding the Third Proportional to 344,301 and 531,817.50

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Solution

The third proportional to 344,301 and 531,817.50 is: 821,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,301 : 531,817.50 = 531,817.50 : x
  2. Step 2: Convert to fraction form
    344,301/531,817.50 = 531,817.50/x
  3. Step 3: Cross multiply
    344,301x = 531,817.50 × 531,817.50
  4. Step 4: Simplify right side
    344,301x = 282,829,853,306.25
  5. Step 5: Solve for x
    x = 282,829,853,306.25/344,301
  6. Step 6: Final answer
    x = 821,461.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.