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Finding the Third Proportional to 483,327 and 710,187

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Solution

The third proportional to 483,327 and 710,187 is: 1,043,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,327 : 710,187 = 710,187 : x
  2. Step 2: Convert to fraction form
    483,327/710,187 = 710,187/x
  3. Step 3: Cross multiply
    483,327x = 710,187 × 710,187
  4. Step 4: Simplify right side
    483,327x = 504,365,574,969
  5. Step 5: Solve for x
    x = 504,365,574,969/483,327
  6. Step 6: Final answer
    x = 1,043,528.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.