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Finding the Third Proportional to 476,353 and 740,774

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Solution

The third proportional to 476,353 and 740,774 is: 1,151,973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,353 : 740,774 = 740,774 : x
  2. Step 2: Convert to fraction form
    476,353/740,774 = 740,774/x
  3. Step 3: Cross multiply
    476,353x = 740,774 × 740,774
  4. Step 4: Simplify right side
    476,353x = 548,746,119,076
  5. Step 5: Solve for x
    x = 548,746,119,076/476,353
  6. Step 6: Final answer
    x = 1,151,973.68

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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.