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Finding the Third Proportional to 476,356 and 740,779

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Solution

The third proportional to 476,356 and 740,779 is: 1,151,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,356 : 740,779 = 740,779 : x
  2. Step 2: Convert to fraction form
    476,356/740,779 = 740,779/x
  3. Step 3: Cross multiply
    476,356x = 740,779 × 740,779
  4. Step 4: Simplify right side
    476,356x = 548,753,526,841
  5. Step 5: Solve for x
    x = 548,753,526,841/476,356
  6. Step 6: Final answer
    x = 1,151,981.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.