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Finding the Third Proportional to 243,624 and 374,946

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Solution

The third proportional to 243,624 and 374,946 is: 577,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,624 : 374,946 = 374,946 : x
  2. Step 2: Convert to fraction form
    243,624/374,946 = 374,946/x
  3. Step 3: Cross multiply
    243,624x = 374,946 × 374,946
  4. Step 4: Simplify right side
    243,624x = 140,584,502,916
  5. Step 5: Solve for x
    x = 140,584,502,916/243,624
  6. Step 6: Final answer
    x = 577,055.23

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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.