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Finding the Third Proportional to 246,748 and 535,779

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Solution

The third proportional to 246,748 and 535,779 is: 1,163,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,748 : 535,779 = 535,779 : x
  2. Step 2: Convert to fraction form
    246,748/535,779 = 535,779/x
  3. Step 3: Cross multiply
    246,748x = 535,779 × 535,779
  4. Step 4: Simplify right side
    246,748x = 287,059,136,841
  5. Step 5: Solve for x
    x = 287,059,136,841/246,748
  6. Step 6: Final answer
    x = 1,163,369.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.