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Finding the Third Proportional to 328,332 and 707,324

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Solution

The third proportional to 328,332 and 707,324 is: 1,523,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,332 : 707,324 = 707,324 : x
  2. Step 2: Convert to fraction form
    328,332/707,324 = 707,324/x
  3. Step 3: Cross multiply
    328,332x = 707,324 × 707,324
  4. Step 4: Simplify right side
    328,332x = 500,307,240,976
  5. Step 5: Solve for x
    x = 500,307,240,976/328,332
  6. Step 6: Final answer
    x = 1,523,784.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.