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Finding the Third Proportional to 466,468 and 737,468

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Solution

The third proportional to 466,468 and 737,468 is: 1,165,908.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,468 : 737,468 = 737,468 : x
  2. Step 2: Convert to fraction form
    466,468/737,468 = 737,468/x
  3. Step 3: Cross multiply
    466,468x = 737,468 × 737,468
  4. Step 4: Simplify right side
    466,468x = 543,859,051,024
  5. Step 5: Solve for x
    x = 543,859,051,024/466,468
  6. Step 6: Final answer
    x = 1,165,908.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.