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Finding the Third Proportional to 476,516 and 740,913

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Solution

The third proportional to 476,516 and 740,913 is: 1,152,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,516 : 740,913 = 740,913 : x
  2. Step 2: Convert to fraction form
    476,516/740,913 = 740,913/x
  3. Step 3: Cross multiply
    476,516x = 740,913 × 740,913
  4. Step 4: Simplify right side
    476,516x = 548,952,073,569
  5. Step 5: Solve for x
    x = 548,952,073,569/476,516
  6. Step 6: Final answer
    x = 1,152,011.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.