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Finding the Third Proportional to 502,071 and 702,241.50

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Solution

The third proportional to 502,071 and 702,241.50 is: 982,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,071 : 702,241.50 = 702,241.50 : x
  2. Step 2: Convert to fraction form
    502,071/702,241.50 = 702,241.50/x
  3. Step 3: Cross multiply
    502,071x = 702,241.50 × 702,241.50
  4. Step 4: Simplify right side
    502,071x = 493,143,124,322.25
  5. Step 5: Solve for x
    x = 493,143,124,322.25/502,071
  6. Step 6: Final answer
    x = 982,217.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.