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Finding the Third Proportional to 323,316 and 702,592

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Solution

The third proportional to 323,316 and 702,592 is: 1,526,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,316 : 702,592 = 702,592 : x
  2. Step 2: Convert to fraction form
    323,316/702,592 = 702,592/x
  3. Step 3: Cross multiply
    323,316x = 702,592 × 702,592
  4. Step 4: Simplify right side
    323,316x = 493,635,518,464
  5. Step 5: Solve for x
    x = 493,635,518,464/323,316
  6. Step 6: Final answer
    x = 1,526,789.64

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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.