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Finding the Third Proportional to 199,465 and 437,681

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Solution

The third proportional to 199,465 and 437,681 is: 960,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,465 : 437,681 = 437,681 : x
  2. Step 2: Convert to fraction form
    199,465/437,681 = 437,681/x
  3. Step 3: Cross multiply
    199,465x = 437,681 × 437,681
  4. Step 4: Simplify right side
    199,465x = 191,564,657,761
  5. Step 5: Solve for x
    x = 191,564,657,761/199,465
  6. Step 6: Final answer
    x = 960,392.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.