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Finding the Third Proportional to 328,032 and 710,532

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Solution

The third proportional to 328,032 and 710,532 is: 1,539,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,032 : 710,532 = 710,532 : x
  2. Step 2: Convert to fraction form
    328,032/710,532 = 710,532/x
  3. Step 3: Cross multiply
    328,032x = 710,532 × 710,532
  4. Step 4: Simplify right side
    328,032x = 504,855,723,024
  5. Step 5: Solve for x
    x = 504,855,723,024/328,032
  6. Step 6: Final answer
    x = 1,539,044.13

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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.