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Finding the Third Proportional to 466,454 and 737,445

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Solution

The third proportional to 466,454 and 737,445 is: 1,165,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,454 : 737,445 = 737,445 : x
  2. Step 2: Convert to fraction form
    466,454/737,445 = 737,445/x
  3. Step 3: Cross multiply
    466,454x = 737,445 × 737,445
  4. Step 4: Simplify right side
    466,454x = 543,825,128,025
  5. Step 5: Solve for x
    x = 543,825,128,025/466,454
  6. Step 6: Final answer
    x = 1,165,870.86

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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.