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Finding the Third Proportional to 467,253 and 710,114

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Solution

The third proportional to 467,253 and 710,114 is: 1,079,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,253 : 710,114 = 710,114 : x
  2. Step 2: Convert to fraction form
    467,253/710,114 = 710,114/x
  3. Step 3: Cross multiply
    467,253x = 710,114 × 710,114
  4. Step 4: Simplify right side
    467,253x = 504,261,892,996
  5. Step 5: Solve for x
    x = 504,261,892,996/467,253
  6. Step 6: Final answer
    x = 1,079,205.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.