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Finding the Third Proportional to 328,580 and 469,862

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Solution

The third proportional to 328,580 and 469,862 is: 671,892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,580 : 469,862 = 469,862 : x
  2. Step 2: Convert to fraction form
    328,580/469,862 = 469,862/x
  3. Step 3: Cross multiply
    328,580x = 469,862 × 469,862
  4. Step 4: Simplify right side
    328,580x = 220,770,299,044
  5. Step 5: Solve for x
    x = 220,770,299,044/328,580
  6. Step 6: Final answer
    x = 671,892.08

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