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Finding the Third Proportional to 437,454 and 674,838

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Solution

The third proportional to 437,454 and 674,838 is: 1,041,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,454 : 674,838 = 674,838 : x
  2. Step 2: Convert to fraction form
    437,454/674,838 = 674,838/x
  3. Step 3: Cross multiply
    437,454x = 674,838 × 674,838
  4. Step 4: Simplify right side
    437,454x = 455,406,326,244
  5. Step 5: Solve for x
    x = 455,406,326,244/437,454
  6. Step 6: Final answer
    x = 1,041,038.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.