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Finding the Third Proportional to 246,303 and 531,896

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Solution

The third proportional to 246,303 and 531,896 is: 1,148,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,303 : 531,896 = 531,896 : x
  2. Step 2: Convert to fraction form
    246,303/531,896 = 531,896/x
  3. Step 3: Cross multiply
    246,303x = 531,896 × 531,896
  4. Step 4: Simplify right side
    246,303x = 282,913,354,816
  5. Step 5: Solve for x
    x = 282,913,354,816/246,303
  6. Step 6: Final answer
    x = 1,148,639.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.