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Finding the Third Proportional to 246,308 and 531,076

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Solution

The third proportional to 246,308 and 531,076 is: 1,145,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,308 : 531,076 = 531,076 : x
  2. Step 2: Convert to fraction form
    246,308/531,076 = 531,076/x
  3. Step 3: Cross multiply
    246,308x = 531,076 × 531,076
  4. Step 4: Simplify right side
    246,308x = 282,041,717,776
  5. Step 5: Solve for x
    x = 282,041,717,776/246,308
  6. Step 6: Final answer
    x = 1,145,077.37

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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.