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Finding the Third Proportional to 328,052 and 710,504

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Solution

The third proportional to 328,052 and 710,504 is: 1,538,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,052 : 710,504 = 710,504 : x
  2. Step 2: Convert to fraction form
    328,052/710,504 = 710,504/x
  3. Step 3: Cross multiply
    328,052x = 710,504 × 710,504
  4. Step 4: Simplify right side
    328,052x = 504,815,934,016
  5. Step 5: Solve for x
    x = 504,815,934,016/328,052
  6. Step 6: Final answer
    x = 1,538,829.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.