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Finding the Third Proportional to 349,747 and 531,460

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Solution

The third proportional to 349,747 and 531,460 is: 807,583.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,747 : 531,460 = 531,460 : x
  2. Step 2: Convert to fraction form
    349,747/531,460 = 531,460/x
  3. Step 3: Cross multiply
    349,747x = 531,460 × 531,460
  4. Step 4: Simplify right side
    349,747x = 282,449,731,600
  5. Step 5: Solve for x
    x = 282,449,731,600/349,747
  6. Step 6: Final answer
    x = 807,583.00

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Why These Related Problems?

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