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Finding the Third Proportional to 246,403 and 527,798

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Solution

The third proportional to 246,403 and 527,798 is: 1,130,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,403 : 527,798 = 527,798 : x
  2. Step 2: Convert to fraction form
    246,403/527,798 = 527,798/x
  3. Step 3: Cross multiply
    246,403x = 527,798 × 527,798
  4. Step 4: Simplify right side
    246,403x = 278,570,728,804
  5. Step 5: Solve for x
    x = 278,570,728,804/246,403
  6. Step 6: Final answer
    x = 1,130,549.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.