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Finding the Third Proportional to 506,212 and 712,050

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Solution

The third proportional to 506,212 and 712,050 is: 1,001,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,212 : 712,050 = 712,050 : x
  2. Step 2: Convert to fraction form
    506,212/712,050 = 712,050/x
  3. Step 3: Cross multiply
    506,212x = 712,050 × 712,050
  4. Step 4: Simplify right side
    506,212x = 507,015,202,500
  5. Step 5: Solve for x
    x = 507,015,202,500/506,212
  6. Step 6: Final answer
    x = 1,001,586.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.