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Finding the Third Proportional to 328,624 and 469,592

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Solution

The third proportional to 328,624 and 469,592 is: 671,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,624 : 469,592 = 469,592 : x
  2. Step 2: Convert to fraction form
    328,624/469,592 = 469,592/x
  3. Step 3: Cross multiply
    328,624x = 469,592 × 469,592
  4. Step 4: Simplify right side
    328,624x = 220,516,646,464
  5. Step 5: Solve for x
    x = 220,516,646,464/328,624
  6. Step 6: Final answer
    x = 671,030.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.