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Finding the Third Proportional to 328,117 and 514,044

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Solution

The third proportional to 328,117 and 514,044 is: 805,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,117 : 514,044 = 514,044 : x
  2. Step 2: Convert to fraction form
    328,117/514,044 = 514,044/x
  3. Step 3: Cross multiply
    328,117x = 514,044 × 514,044
  4. Step 4: Simplify right side
    328,117x = 264,241,233,936
  5. Step 5: Solve for x
    x = 264,241,233,936/328,117
  6. Step 6: Final answer
    x = 805,326.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.