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Finding the Third Proportional to 349,769 and 531,484

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Solution

The third proportional to 349,769 and 531,484 is: 807,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,769 : 531,484 = 531,484 : x
  2. Step 2: Convert to fraction form
    349,769/531,484 = 531,484/x
  3. Step 3: Cross multiply
    349,769x = 531,484 × 531,484
  4. Step 4: Simplify right side
    349,769x = 282,475,242,256
  5. Step 5: Solve for x
    x = 282,475,242,256/349,769
  6. Step 6: Final answer
    x = 807,605.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.