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Finding the Third Proportional to 328,352 and 714,214

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Solution

The third proportional to 328,352 and 714,214 is: 1,553,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,352 : 714,214 = 714,214 : x
  2. Step 2: Convert to fraction form
    328,352/714,214 = 714,214/x
  3. Step 3: Cross multiply
    328,352x = 714,214 × 714,214
  4. Step 4: Simplify right side
    328,352x = 510,101,637,796
  5. Step 5: Solve for x
    x = 510,101,637,796/328,352
  6. Step 6: Final answer
    x = 1,553,520.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.