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Finding the Third Proportional to 506,285 and 712,153

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Solution

The third proportional to 506,285 and 712,153 is: 1,001,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,285 : 712,153 = 712,153 : x
  2. Step 2: Convert to fraction form
    506,285/712,153 = 712,153/x
  3. Step 3: Cross multiply
    506,285x = 712,153 × 712,153
  4. Step 4: Simplify right side
    506,285x = 507,161,895,409
  5. Step 5: Solve for x
    x = 507,161,895,409/506,285
  6. Step 6: Final answer
    x = 1,001,732.02

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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.