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Finding the Third Proportional to 328,966 and 709,148

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Solution

The third proportional to 328,966 and 709,148 is: 1,528,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,966 : 709,148 = 709,148 : x
  2. Step 2: Convert to fraction form
    328,966/709,148 = 709,148/x
  3. Step 3: Cross multiply
    328,966x = 709,148 × 709,148
  4. Step 4: Simplify right side
    328,966x = 502,890,885,904
  5. Step 5: Solve for x
    x = 502,890,885,904/328,966
  6. Step 6: Final answer
    x = 1,528,701.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.